# Seminars (ITS)

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Event When Speaker Title
ITSW01 25th July 2001
09:00 to 09:05
Welcome from the Director, Professor HK Moffatt
ITSW01 25th July 2001
09:05 to 09:30
A Degasperis Collisions between one and two dimensional solitons
ITSW01 25th July 2001
09:30 to 09:55
Bispectrality for maxtrix differential equations
ITSW01 25th July 2001
09:55 to 10:20
AK Pogrebkov On the two-dimensional inverse scattering for the perturbed 1-soliton potentials
ITSW01 25th July 2001
10:20 to 10:45
Integrable and nonintegrable evolution equations possessing lots of periodic trajectories:analytical theory
ITSW01 25th July 2001
11:10 to 11:35
Numerical simulation of the motion of an(integrable \& non-integrable) system of interacting rotators in the plane
ITSW01 25th July 2001
11:35 to 12:00
Applications of inverse scattering to some finite dimensional integrable systems
ITSW01 25th July 2001
12:00 to 12:25
Two dimensional Calogero-Moser model
ITSW01 25th July 2001
14:00 to 14:25
Normal forms for nonlinear resonance of embedded solitons
ITSW01 25th July 2001
14:25 to 14:50
Periodic solutions of non-autonomous second order differential inclusions systems
ITSW01 25th July 2001
14:50 to 15:15
On equations solvable by the inverse scattering method
ITSW01 25th July 2001
15:45 to 16:10
Symmetries and exact solutions of the Schwarz-Korteweg de Vries equation
ITSW01 25th July 2001
16:10 to 16:35
A criterion of separability for natural hamiltonian systems
ITSW01 25th July 2001
16:35 to 17:00
Driven Newton equations and time-dependent separable potentials
ITSW01 25th July 2001
17:00 to 17:25
Conserved densities and generalised symmetries of nonlinear differential-difference equations
ITSW01 25th July 2001
17:25 to 17:50
Integrable systems and number theory
ITSW01 25th July 2001
17:50 to 18:15
Prolongations of vector fields and invariants by derivation
ITSW01 26th July 2001
09:00 to 09:25
TBA
ITSW01 26th July 2001
09:25 to 09:50
V Sokolov A new integrable case for the Kirchhoff equations
ITSW01 26th July 2001
09:50 to 10:15
TBA
ITSW01 26th July 2001
10:15 to 10:40
The period map for pulse propagation in nonlinear optical dm fibres
ITSW01 26th July 2001
11:10 to 11:35
R Bullough Quantum integrable \& non-integrable nonlinear Schroedinger models for realisable Bose-Einstein condensation in n+1 dimensions (n= 1, 2, 3)
ITSW01 26th July 2001
11:35 to 12:00
Modeling and analyzing fluid dynamics in the Euler-Poincar\'{e} framework
ITSW01 26th July 2001
12:00 to 12:25
L Friedland From solar system to solitons and vortices: pattern formation by synchronisation
ITSW01 26th July 2001
14:00 to 14:25
Dynamics of the bubble expansion in a metastable medium
ITSW01 26th July 2001
14:25 to 14:50
V Koutvisky The structure of singularities arising in the course of the Newtonian collapse of dust-like matter
ITSW01 26th July 2001
14:50 to 15:15
Asymptotic analysis of the autoresonance phenomenon
ITSW01 26th July 2001
15:45 to 16:10
On semiclassical limit of the focusing NLS with pure radiation initial data
ITSW01 26th July 2001
16:10 to 16:35
Pfaffian Hierarchies
ITSW01 26th July 2001
16:35 to 17:00
H Heredero Integrable fully non-linear evolution equations
ITSW01 26th July 2001
17:00 to 17:25
The unreasonable effectiveness of integrable models. Connection to the topological field theory
ITSW01 26th July 2001
17:25 to 17:50
Integrable models related to Frobenius manifolds
ITSW01 27th July 2001
09:00 to 09:25
Solutions of the dispersionless KP hierarchy and quasiconformal maps
ITSW01 27th July 2001
09:25 to 09:50
S Agafonov Imbedded circle patterns with the combinatorics of the square grid and discrete Painlev\'e equations
ITSW01 27th July 2001
09:50 to 10:15
Asymptotic nets, their discretisation and reductions
ITSW01 27th July 2001
10:15 to 10:40
R Balakhrishnan Moving curves and soliton equations: some new results
ITSW01 27th July 2001
11:10 to 11:35
Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces
ITSW01 27th July 2001
11:35 to 12:00
Compatible flat metrics and integrable reductions of the Lam\'e equations
ITSW01 27th July 2001
12:00 to 12:25
J Sanders Integrable systems and Riemannian manifolds with constant curvature
ITSW01 27th July 2001
14:00 to 14:25
Dispersionless integrable hierarchies and the quasi-classical d-bar dressing method
ITSW01 27th July 2001
14:25 to 14:50
E Medina Reductions and hodograph solutions of the dispersionless KP hierarchy
ITSW01 27th July 2001
14:50 to 15:15
Bourlet integrability of the N-reductions of the dispersionless KP hierarchy
ITSW01 27th July 2001
15:45 to 16:10
Integrable systems in null-K\"ahler geometry
ITSW01 27th July 2001
16:10 to 16:35
Solitons and almost-intertwining matrices
ITSW01 27th July 2001
16:35 to 17:00
H Kakuhata Rotating loop soliton of the coupled dispersionless equations
ITSW01 27th July 2001
17:00 to 17:25
On the use of the Lie group machinery for establishing conditions for asymptotic integrability
ITSW01 27th July 2001
17:25 to 18:15
From Burgers equation to linear difference-differential equations
ITSW01 27th July 2001
19:30 to 18:00
Poster session discussion
ITSW01 28th July 2001
09:00 to 09:25
TBA
ITSW01 28th July 2001
09:25 to 09:50
Algebro-geometric Approach to the Ernst equation
ITSW01 28th July 2001
09:50 to 10:15
V Enolskii On the trigonal Abelian functions
ITSW01 28th July 2001
10:15 to 10:40
Algebro-geometric solution of the Riemann-Hilbert problem for a class of non-hyperelliptic curves
ITSW01 28th July 2001
11:10 to 11:35
P Grinevich Approximation theorem for the focusing periodic nonlinar Schrodinger equation and the filament equation
ITSW01 28th July 2001
11:35 to 12:00
The geometry of the classical solutions of the Garnier systems
ITSW01 28th July 2001
14:00 to 14:25
Some remarks on separation of variables for Lax and bihamiltonian systems
ITSW01 28th July 2001
14:25 to 14:50
Bi-Hamiltonian aspects of the Neumann system
ITSW01 28th July 2001
14:50 to 15:15
Recursion operator of evolution equations having polynomial and rational Lax representation
ITSW01 28th July 2001
15:45 to 16:10
On the invariant separated variables
ITSW01 28th July 2001
16:10 to 16:35
Lie symmetries of multidimensional difference equations and lattices
ITSW01 28th July 2001
16:35 to 17:00
Homoclinic orbits for the double discrete sine-Gordon equation
ITSW01 28th July 2001
17:00 to 17:25
Integration of Hamiltonians with generalized cubic and quartic potentials
ITSW01 28th July 2001
17:25 to 17:50
Higher analogies of Painlev\'e equations and their properties
ITSW01 28th July 2001
17:50 to 18:15
TBA
ITSW01 30th July 2001
09:00 to 09:25
General theory of the canonical B\"acklund transformations
ITSW01 30th July 2001
09:25 to 09:50
P Estevez Separation of variables of a generalised porous medium equation with nonlinear source
ITSW01 30th July 2001
09:50 to 10:15
R Conte The two sequences of birational transformations of the Painlev\'e equations
ITSW01 30th July 2001
10:15 to 10:40
On the positivity of solutions for dissipative partial differential equations
ITSW01 30th July 2001
11:10 to 11:35
N Joshi New Painlev\'e hierarchies
ITSW01 30th July 2001
11:35 to 12:00
O Costin Equivalent of the Painlev\'e property for difference equations and study of their solvability
ITSW01 30th July 2001
12:00 to 12:25
A new family of four dimensional symplectic and integrable mappings
ITSW01 30th July 2001
14:00 to 14:25
Topology of the isospectral manifolds of finite and periodic Toda lattices
ITSW01 30th July 2001
14:25 to 14:50
Duality in random matrices and biorthogonal polynomials
ITSW01 30th July 2001
14:50 to 15:15
R Ivanov On the dressing method for the generalised Zakharov-Shabat system
ITSW01 30th July 2001
15:45 to 16:10
Hilbert formulation of spectral problem on the semi-line, applications to SRS and sine-Gordon
ITSW01 30th July 2001
16:10 to 16:35
Two dimensional PDEs in polygonal domains
ITSW01 30th July 2001
16:35 to 17:00
Stefan problems for continuous and discrete models
ITSW01 30th July 2001
17:00 to 17:25
S Manakov Initial-boundary value problems for soliton equations
ITSW01 30th July 2001
17:25 to 17:50
S Boscolo Stable self-similar parabolic optical solitary waves
ITSW01 30th July 2001
17:50 to 18:05
On the Dubrovin equations and the trace formulae for the Finite-gap potentials
ITS 3rd August 2001
14:00 to 15:00
On the application of number theory to integrable systems
ITS 6th August 2001
14:00 to 15:00
Spaces of diagonal curvature and n-wave systems
ITS 8th August 2001
14:00 to 15:00
Transient vortex events and the initial value problem for turbulence
ITSW02 13th August 2001
09:00 to 10:00
A Mikhailov Introduction: What is Integrability?
ITSW02 13th August 2001
10:00 to 11:00
SP Novikov Discrete integrable systems and discrete symmetries
ITSW02 13th August 2001
11:30 to 12:30
The Painlev\'e property and the poly-Painlev\'e test
ITSW02 13th August 2001
14:00 to 15:00
A Degasperis Multiscale expansion and integrability of dispersive wave equations
ITSW02 13th August 2001
16:00 to 17:00
On some integrable and non-integrable equations
ITSW02 14th August 2001
09:00 to 10:00
A Shabat Classical heirarchies of integrable equations
ITSW02 14th August 2001
10:00 to 11:00
A Degasperis Multiscale expansion and integrability of dispersive wave equations
ITSW02 14th August 2001
11:30 to 12:30
Tutorial on multiscale expansion
ITSW02 14th August 2001
14:00 to 15:00
V Sokolov Integrability of finite dimensional dynamical systems
ITSW02 14th August 2001
15:30 to 16:30
Anti-seld-duality and integrability
ITSW02 14th August 2001
16:30 to 17:30
The Painlev\'e property and the poly-Painlev\'e test
ITSW02 15th August 2001
09:00 to 10:00
S Novikov Discrete integrable systems and discrete symmetries
ITSW02 15th August 2001
10:00 to 11:00
A Shabat Dressing chains and darboux transformations
ITSW02 15th August 2001
11:30 to 12:30
Twistor theory and integrability
ITSW02 15th August 2001
14:00 to 15:00
A Mikhailov Symmetries and conservation laws - Formal recursion operators
ITSW02 15th August 2001
15:30 to 16:30
Tutorial on the Painlev\'e property
ITSW02 15th August 2001
16:30 to 17:30
A Degasperis Multiscale expansion and integrability of dispersive wave equations
ITSW02 16th August 2001
09:00 to 10:00
A Mikhailov Necessary conditions for integrability
ITSW02 16th August 2001
10:00 to 11:00
S Novikov Discrete integrable systems and discrete symmetries
ITSW02 16th August 2001
11:30 to 12:30
Tutorial on formal recursion operators and canonical conservation laws
ITSW02 16th August 2001
14:00 to 15:00
The Painlev\'e property and the poly-Painlev\'e test
ITSW02 16th August 2001
15:30 to 16:30
Discussion/problem solving
ITSW02 16th August 2001
16:30 to 17:30
Number theory and the symmetry classification of integrable systems
ITSW02 17th August 2001
09:00 to 10:00
Hirota's bilinear method and its connection with integrability
ITSW02 17th August 2001
10:00 to 11:00
Multidimensional perturbation theory
ITSW02 17th August 2001
11:30 to 12:30
Tutorial on discrete integrable systems and symmetries
ITSW02 17th August 2001
14:00 to 15:00
Normal forms and solitons
ITSW02 17th August 2001
15:30 to 16:30
Discussion/problem solving
ITSW02 17th August 2001
16:30 to 17:30
Number theory and the symmetry classification of integrable systems
ITSW02 20th August 2001
09:00 to 10:00
V Sokolov Classification problem - main results
ITSW02 20th August 2001
10:00 to 11:00
Normal forms and solitons
ITSW02 20th August 2001
11:30 to 12:30
Tutorial - Transformations of PDE's
ITSW02 20th August 2001
14:00 to 15:00
Hirota's bilinear method and its connection with integrability
ITSW02 20th August 2001
15:30 to 16:30
Tutorial on Hirota's bilinear method
ITSW02 20th August 2001
16:30 to 17:30
Number theory and the symmetry classifiction of integrable systems
ITSW02 21st August 2001
09:00 to 10:00
Normal forms and solitons
ITSW02 21st August 2001
10:00 to 11:00
Hirota's bilinear method and its connection with integrability
ITSW02 21st August 2001
11:30 to 12:30
Tutorial on normal forms and solitons
ITSW02 21st August 2001
15:30 to 16:30
Quantum integrable systems
ITSW02 21st August 2001
16:30 to 17:30
Multidimensional perturbation theory
ITSW02 22nd August 2001
09:00 to 10:00
Symmetry, the Chazy equation and Chazy hierarchies
ITSW02 22nd August 2001
10:00 to 11:00
A Shabat Integrable Lagrangian equations
ITSW02 22nd August 2001
11:30 to 12:30
Tutorial on quantum integrable systems
ITSW02 22nd August 2001
14:00 to 15:00
Representation theory and integrability
ITSW02 22nd August 2001
15:30 to 16:30
PA Clarkson The inverse scattering transform
ITSW02 22nd August 2001
16:30 to 17:30
P Olver Multi-Hamiltonian structures and integrability
ITSW02 23rd August 2001
09:00 to 10:00
Multidimensional perturbation theory
ITSW02 23rd August 2001
10:00 to 11:00
Symmetry, the Chazy equation and Chazy hierarchies
ITSW02 23rd August 2001
11:30 to 12:30
Tutorial on symmetry and integrability
ITSW02 23rd August 2001
14:00 to 15:00
P Winternitz Superintegrability, multiseparability and exact solvability in quantum mechanics I
ITSW02 23rd August 2001
15:30 to 16:30
Discussion/problem solving
ITSW02 23rd August 2001
16:30 to 17:30
Quantum integrable systems
ITSW02 24th August 2001
09:00 to 10:00
P Winternitz Superintegrability, multiseparability and exact solvability in quantum mechanics II
ITSW02 24th August 2001
10:00 to 11:00
P Olver Multi-Hamiltonian structures and integrability
ITSW02 24th August 2001
11:30 to 12:30
ITSW02 24th August 2001
14:00 to 15:00
Quantum integrable systems
ITSW02 24th August 2001
15:30 to 16:30
Representation theory and integrability
ITSW02 24th August 2001
16:30 to 17:30
Final discussion - What is integrability?
ITS 29th August 2001
15:00 to 16:00
Shallow water waves and normal forms
ITS 31st August 2001
15:00 to 16:00
Nonlinear dynamics on the plane, dispersionless integrable hierarchies and the quasi-classical D-BAR dressing method
ITSW03 3rd September 2001
10:00 to 11:00
A new class of integrable quantum lattice systems
ITSW03 3rd September 2001
11:30 to 12:30
On the zeros of the solitude Baker-Akhiezer function for the Toda chain
ITSW03 3rd September 2001
15:00 to 16:00
V Sokolov Laplace transform and integrable hyperbolic equations of Liouville type
ITSW03 3rd September 2001
16:00 to 17:00
Discussion
ITSW03 4th September 2001
09:00 to 10:00
On the discrete dynamical systems with $W(A^{(1)}_1A^{(1)}_2)$ symmetry
ITSW03 4th September 2001
10:00 to 11:00
q-Painleve equations arising from a q-version of the modified KP heirarchy
ITSW03 4th September 2001
11:30 to 12:30
The Painleve and discrete Painleve equations - nonlinear and discrete special functions
ITSW03 4th September 2001
15:00 to 16:00
Backlund transformations for a new integrable system with peakons
ITSW03 4th September 2001
16:00 to 17:00
Discussion
ITSW03 5th September 2001
09:00 to 10:00
Discrete equations on planar graphs
ITSW03 5th September 2001
10:00 to 11:00
A Shabat Discretization of spectral problems
ITSW03 5th September 2001
11:30 to 12:30
Discrete hydrodynamics and Monge-Ampere equations
ITSW03 6th September 2001
09:00 to 10:00
Menelaus' theorem, Clifford configurations and inversive geometry of the discrete Schwarzian KP equation
ITSW03 6th September 2001
10:00 to 11:00
W Schief Reciprocal figures, graphical statics and inversive geometry of the Schwarzian BKP hierarchy
ITSW03 6th September 2001
11:30 to 12:30
Analytical methods inthe study of Integrable Discrete Geometries
ITSW03 6th September 2001
15:00 to 16:00
M Nieszporski A discrete laplace ladder, the discrete Moutard equation and its adjoint. Asymptotic lattices and discrete weingarten congruences
ITSW03 6th September 2001
16:00 to 17:00
Discussion
ITSW03 7th September 2001
09:00 to 10:00
V Kuznetsov Kowalevski top revisited
ITSW03 7th September 2001
10:00 to 11:00
On Algebraically integrable systems with deficiency
ITSW03 7th September 2001
11:30 to 12:30
A variaional calculus for discursive systems with applications
ITSW03 7th September 2001
15:00 to 16:00
Direct construction of conservation laws for difference equations
ITSW03 7th September 2001
16:00 to 17:00
M Noumi & A Veselov Discussion on birational represenations of affine Weyl groups
ITSW03 10th September 2001
09:00 to 10:00
Integrable Mapping
ITSW03 10th September 2001
10:00 to 11:00
JAG Roberts Interchanging parameters and integrals in discrete dynamical systems
ITSW03 10th September 2001
11:30 to 12:30
Integrable Mappings with quadratic or quartic invarients
ITSW03 10th September 2001
15:00 to 16:00
Integrable lattice equations in 2D \& 3D posing initial-boundary value problems
ITSW03 10th September 2001
16:00 to 17:00
Discussion
ITSW03 11th September 2001
09:00 to 10:00
C Viallet Complexity, singularity and integrability of maps
ITSW03 11th September 2001
10:00 to 11:00
Difference equations in the complex domain
ITSW03 11th September 2001
11:30 to 12:30
MD Kruskal Equivalent of the Painleve property for difference equations and study of their solvability
ITSW03 11th September 2001
15:00 to 16:00
Tutorial on singularity confinements
ITSW03 11th September 2001
16:00 to 17:00
Discussion
ITSW03 12th September 2001
09:00 to 10:00
F Pempinelli An Integrable discretization of kdV at large times
ITSW03 12th September 2001
10:00 to 11:00
Integrable discretization of sine- and sinh-Gordon equations: novelties and open problems
ITSW03 12th September 2001
11:30 to 12:30
On recursion operators
ITSW03 13th September 2001
09:00 to 10:00
Periodic box and ball systems
ITSW03 13th September 2001
10:00 to 11:00
R Willox Integrable lattices from D-type algebras
ITSW03 13th September 2001
11:30 to 12:30
F Nijhoff On some integrable discrete systems related to elliptic curves
ITSW03 13th September 2001
15:15 to 16:00
Functional equations, difference equations and integrable systems
ITSW03 13th September 2001
16:00 to 17:00
Discussion
ITSW03 14th September 2001
09:00 to 10:00
Lie Symmetries for multi-dimensional discrete systems
ITSW03 14th September 2001
10:00 to 11:00
Topology of the affine variety of the real part of hyperelliptic jacobian associated with the periodic Toda Lattice
ITSW03 14th September 2001
11:30 to 12:30
Final Discussion
ITSW04 17th September 2001
09:30 to 10:30
Integrable systmes and Calabi-Yau manifolds
ITSW04 17th September 2001
10:30 to 11:30
Hyper-Kahler metrics and integrable systems
ITSW04 17th September 2001
12:00 to 13:00
LJ Mason Reductions of anti-self dual conformal structures
ITSW04 17th September 2001
14:30 to 15:30
Shlesinger systems, their reduction and classical solutions
ITSW04 17th September 2001
16:00 to 17:00
Integrable Riemannien spaces and their application to physics and geometry
ITSW04 18th September 2001
09:15 to 10:15
Integrable systems on 3-spaces of constant curvature
ITSW04 18th September 2001
10:15 to 11:15
Integrable background geometries in dimensions one to four
ITSW04 18th September 2001
11:45 to 12:45
Twistors and isomonodromy
ITSW04 18th September 2001
14:30 to 15:30
N Manton Gauged Vortices - some exact results
ITS 19th September 2001
15:00 to 16:00
Integrable difference geometry vs integrable differential geometry: The discrete Lame system"
ITS 24th September 2001
15:00 to 16:00
The quasi-classical D-Bar method for the dispersionless KP hierarchy
ITS 1st October 2001
15:00 to 16:00
Reflectionless self-adjoint difference operators: from discrete to analytic
ITS 3rd October 2001
15:00 to 16:00
Lie symmetries and Hirota maps
In the first part of the talk I'll discuss an algebraic approach to Lie symmetries which tries to build an analogy with differential Galois theory. In the second half, I'll speak about the role of Hirota-type maps in representation theory for sl(2) and sl(3).
ITS 8th October 2001
15:00 to 16:00
A search for action-angle co-ordinates
ITS 10th October 2001
15:00 to 16:00
On a class of many-body problems in the plane (including integrable and nonintegrable cases) which possess a lot of periodic solutions
A class of many-body problems in the plane, characterised by translation- and rotation-invariant Newtonian equations of motion (derivable from a Hamiltonian), and including both integrable and (presumably) nonintegrable cases, is shown to possess lots of completely periodic solutions (emerging from open sets of initial data having nonvanishing measure in phase space). The mechanism whereby this happens is elucidated; the light thereby shone on the connection among integrability and analyticity in (complex) time, as well as on the emergence of a chaotic behavior not associated with any local exponential divergence of trajectories in phase space, illuminates interesting phenomena of more general validity than for the particular model considered herein.
ITS 15th October 2001
15:00 to 16:00
Whitham equations, Bergman kernel and logarithmic potential theory
We show that the Bergman kernel, defined on hyperelliptic Riemann surfaces, solves two different variational problems. First we show that it provides the solution of the Whitham equations for KdV and NLS. Then we show that the equilibrium measure for logarithmic potentials in the presence of an external field can be expressed in terms of the Bergman kernel.
ITS 17th October 2001
11:00 to 12:00
Periods of hyperelliptic integrals expressed in terms of $\theta$- constants by means of Thomae formulae
The expressions for the periods of first and second type integrals on hyperelliptic curve are given in terms of $\theta$-constants. The principal tool of the derivation are Thomae formulae which link theta constants with branching points. Another ingredient of the derivation is the Picard-Fuchs equations for the hyperelliptic periods. The talk will survey some basic results in the theory of hyperelliptic functions.
ITS 18th October 2001
11:00 to 12:00
On a class of many-body problems in the plane (including integrable and nonintegrable cases) which possess a lot of periodic solutions
A class of many-body problems in the plane, characterised by translation- and rotation-invariant Newtonian equations of motion (derivable from a Hamiltonian), and including both integrable and (presumably) nonintegrable cases, is shown to possess lots of completely periodic solutions (emerging from open sets of initial data having nonvanishing measure in phase space). The mechanism whereby this happens is elucidated; the light thereby shone on the connection among integrability and analyticity in (complex) time, as well as on the emergence of a chaotic behavior not associated with any local exponential divergence of trajectories in phase space, illuminates interesting phenomena of more general validity than for the particular model considered herein.
ITS 22nd October 2001
15:00 to 16:00
Homoclinic orbits for a modified KdV equation
We study the homoclinic structure of modified Korteweg--de Vries equation under dissipative perturbations. The homoclinic orbits are constructed through the Backlund transformation of mKdV equation. For external parameters on a codimension 1 submanifold, the persistence of homoclinic solutions to periodic traveling waves is established through an argument which combines Mel'nikov method and the dynamics of the finite dimensional reduced system on the plane of periodic traveling waves.
ITS 24th October 2001
11:00 to 12:00
Solution methods for Benney's equations
Benney's equations can be written as a Vlasov equation for a distribution function f(x,p,t). In some special cases, the reductions described by Gibbons and Tsarev, the initial value problem can be solved. The general case is more problematic, though Geogjaev has sketched some important steps towards a solution. We study the relationships between these constructions and with the d-bar techniques used by Konopelchenko and Martinez Alonso.
ITS 29th October 2001
15:00 to 16:00
Differential-difference KP equation: solutions through Sato approach
ITS 31st October 2001
11:00 to 12:00
Explicit integration of classical series of exponential systems using the approach of Darboux-Moutard-Goursat
We give the basic facts about the current state and different generalisations of the problem first studied by Gaspar Monge: given one (!) ODE for two (!) functions
F(x, y, y', z, z') = 0, y = y(x), z = z(x), (1)

is it possible to give its complete parametric solution
x = x(t, u, u', u'', ...),
y = y(t, u, u', u'', ...),
z = z(t, u, u', u'', ...),

where t is a new parameter, and u = u(t) is a new arbitrary function ?
Recently problems of similar form found applications in optimal control ("flat systems of ODEs"). Obviously this problem also deserves attention in the framework of integrable systems.
ITS 5th November 2001
15:00 to 16:00
A Kapaev Quasi-linear Stokes phenomenon for the second Painlev\'e transcendent
Using the Riemann-Hilbert approach, we study the quasi-linear Stokes phenomenon for the second Painlev\'e equation $y_{xx}=2y^3+xy-\alpha$. The precise description of the exponentially small jump in the dominant solution approaching $\alpha/x$ as $|x|\to\infty$ is given. For the asymptotic power expansion of the dominant solution, the asymptotics of the coefficients is found.
ITS 7th November 2001
11:00 to 12:00
V Sokolov Compatible Lie brackets and integrable $\sigma$-models
Two classes of integrable nonlinear systems of hyperbolic equations on semi-simple Lie algebras are considered. All these systems are generalizations of the principle chiral model. Each of these systems is related to a pair of compatible Lie brackets. Lax representations for all systems, defined by decompositions of the Lie algebra of Laurant series into a sum of two subalgebras are given. New examples of compatible brackets are presented.
ITS 12th November 2001
15:00 to 16:00
Inverse scattering transform for the perturbed 1-soliton potential of the nonstationary Schroedinger and heat equations
The inverse scattering theory for the nonstationary Schroedinger and heat equations is generalised to include a special subclass of potentials nondecaying at space infinity---perturbations of the one-soliton potential by means of decaying two-dimensional functions. Appropriate generalisations of the Jost solutions are introduced and their properties are investigated in detail. The singularity structure of these solutions is shown to be essentially more involved than in the standard case of rapidly decaying potential. Corresponding scattering data are introduced and their singularity structure is investigated as well. Formulation of the inverse problem is given as result of this study.
ITS 14th November 2001
11:00 to 12:00
Analytic representation of DM-solitons in the NLS equation
A simple exact formula is derived for the profile of the optical pulse propagating over a DM fibre with zero mean dispersion. The dissipation is neglected and dispersion is assumed to be constant along the adjacent legs of the waveguide, thus providing the applicability of the integrable NLS models within each leg. The formula describes a class of solutions called dispersion managed solitons (DM solitons),which are periodic along the waveguide and exponentially localised in time.

DM solitons are parametrised by a certain class of spectral data, specified from numerical simulations. Using a related Riemann-Hilbert problem we reconstruct a profile of DM soliton from the given spectral data. For long enough legs the leading term of DM soliton is found in explicit form by "asymptotic undressing" of the Riemann-Hilbert problem. The analytical results are compared with numerical simulations.

ITS 14th November 2001
14:00 to 15:30
Ecology workshop
ITSW05 16th November 2001
14:00 to 14:45
About a new generation of algorithms for solving polynomial systems and some applications
ITSW05 16th November 2001
14:45 to 15:30
AA Alexeyev Multidimensional superposition principle and invariant manifolds of soliton type
ITSW05 16th November 2001
16:00 to 16:45
Solving bilinear algebraic systems for the classification of integrable polynomial vector evolution equations
ITSW05 16th November 2001
16:45 to 17:30
SP Tsarev Integrability and factorisation of nonlinear and linearised differential equations
ITSW05 17th November 2001
09:00 to 09:45
Overview and application in differential elimination algorithms
ITSW05 17th November 2001
09:45 to 10:30
Some foundations for the algorthmic search for Lie-B\"acklund symmetries
ITSW05 17th November 2001
11:00 to 11:45
R Tucker An exterior systems approach
ITSW05 17th November 2001
11:45 to 12:30
Symbolic computation of conversed densities, generalised symmetries and recursion operators for nonlinear evolution \& lattice equations
ITSW05 17th November 2001
14:00 to 14:30
L Mansfield On symbolic analysis for fluid dynamics
ITSW05 17th November 2001
14:30 to 14:45
A new procedure to find nonclassical symmetries. Application to the MAPLE package DESOLV
ITSW05 17th November 2001
14:45 to 15:30
On computer-assisted classification of coupled integrable equations
ITSW05 17th November 2001
16:00 to 18:00
Individual discussions between users and programmers of symbolic software using available computers and terminals
ITS 19th November 2001
15:00 to 16:00
Uniformisation of algebraic curves: on the Burnside curve
We draw attention to the first and only example of an algebraic curve of genus g>1 (the Burnside curve) which has a complete parametrisation in terms of known special functions. As a byproduct of our consideration we get accessory parameters for the associated Fuchsian equation, its complete integral, and a few little-known formulas in the theory of Weierstrass elliptic functions and series expansions for the meromorphic functions, parametrizing the Burnside curve.
ITS 21st November 2001
11:00 to 12:00
H Holden Algebro-geometric solutions of the Camassa-Holm hierarchy
We provide a detailed treatment of the Camassa-Holm hierarchy with special emphasis on algebro-geometric solutions. This is joint work with F. Gesztesy, Missouri.
ITS 26th November 2001
10:00 to 11:00
Algebraic properties of Hirota derivatives
ITS 26th November 2001
11:30 to 12:30
A Matsuo Vertex operator algebra and the moonshine module
ITS 26th November 2001
14:30 to 15:30
V Buchstaber Symmetric powers of algebraic varieties
ITS 26th November 2001
15:45 to 16:45
V Enolski Periods of hyperelliptic integrals and Thomae formulae
ITS 27th November 2001
10:00 to 11:00
Bloch varieties for some two-dimensional Lame operators
ITS 27th November 2001
11:30 to 12:30
M Feigin Quasi-invariants of Coxeter groups and m-harmonic polynomials
ITS 27th November 2001
14:30 to 15:30
A Mikhailov Integrable ODE's on free associative algebras
ITS 27th November 2001
16:00 to 17:00
A Matsuo Vertex opterator alegbra and the moonshine module - part II
ITS 28th November 2001
10:00 to 11:00
Noncommutative and quantum spheres: an overview
ITS 28th November 2001
11:30 to 12:30
Y Berest Geometry without points
ITS 28th November 2001
14:30 to 15:30
P Etingof Representations of the rational Cherednik algebra and alebraic integrability of Calogero-Moser systems I
ITS 28th November 2001
16:00 to 17:00
Quantum periods and integrable hierarchies I
ITS 29th November 2001
10:00 to 11:00
Quantum periods and integrable hierarchies II
ITS 29th November 2001
11:30 to 12:30
P Etingof Representations of the rational Cherednik algebra and algebraic integrability of Calogero-Moser systems II
ITS 29th November 2001
14:30 to 15:30
A Matsuo Vertex operator algebra and the moonshine module - part III
ITS 29th November 2001
16:00 to 17:00
TBA
ITSW06 30th November 2001
13:30 to 14:20
P Etingof Symplectic reflection algebras and Coalogero-Moser systems ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY
ITSW06 30th November 2001
14:30 to 15:20
G Wilson Integrable systems and noncommutative projective geometry ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY
ITSW06 30th November 2001
16:10 to 17:00
A Matsuo Parafermion algebras and the monster ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY
ITSW06 30th November 2001
17:10 to 18:00
Algebraric integrability, bispectrality and Macdonald conjectures ROOM W142 IN THE SIR DAVID DAVIES BUILDING, LOUGHBROUGH UNIVERSITY
ITSW07 3rd December 2001
09:30 to 10:15
Exact results for self-avoiding loops and branched polymers
ITSW07 3rd December 2001
10:15 to 10:45
Boundary integrability and the Josephson current through a Luttinger liquid
ITSW07 3rd December 2001
11:30 to 12:15
Alternating sign matrices, stochastic processes and c=0 conformal invariance
ITSW07 3rd December 2001
13:45 to 14:30
Backlund transformation for the BC Toda lattice
ITSW07 3rd December 2001
14:30 to 15:15
Elliptic quantum groups and solvable lattice models
ITSW07 3rd December 2001
16:00 to 16:45
V Kuznetsov Simultaneous separation for the Kowalevski and Goryachev-Chaplygin top
ITSW07 3rd December 2001
16:45 to 17:15
T Takebe An integrable system on the moduli space of monopoles and its variants
ITSW07 4th December 2001
09:30 to 10:15
Correlation functions of quantum integrable models
ITSW07 4th December 2001
10:15 to 10:45
Aspects of locality in the form factor programme
ITSW07 4th December 2001
11:30 to 12:15
Solving the boundary XXZ chain at roots of unity
ITSW07 4th December 2001
13:45 to 14:30
Ordinary differential equations, integrable models and PT-Symmetric quantum mechanics
ITSW07 4th December 2001
14:30 to 15:15
Tensor products of representations of quantum affine algebras
ITSW07 4th December 2001
16:00 to 16:45
G Watts TBA
ITSW07 4th December 2001
16:45 to 17:15
Superconductivity and charge density waves in a quasi-one-dimensional spin gap system
ITSW07 5th December 2001
09:30 to 10:15
B McCoy Loop symmetry in the 6 vertex model
ITSW07 5th December 2001
10:15 to 10:45
Bispectral duality in quantum models of Ruisenaars-MacDonald type
ITSW07 5th December 2001
11:30 to 12:15
N MacKay Boundary scattering in the principal chiral model
ITS 5th December 2001
15:00 to 17:00
MD Kruskal Surreal numbers
ITSW07 6th December 2001
09:30 to 10:15
F Smirnov On the separation of variables in quantum integrable models related to U$_q$($\hat{s}l$$_N$)
ITSW07 6th December 2001
10:15 to 10:45
Algebraic approach to the reflection equation
ITSW07 6th December 2001
11:30 to 12:15
T Fokas Mastersymmetries
ITSW07 6th December 2001
13:45 to 14:30
Combinatorial structure of conformal blocks
ITSW07 6th December 2001
14:30 to 15:15
Deformed W$_N$ algebra and Z algebra
ITSW07 6th December 2001
16:00 to 16:45
On Baxter's eight vertex model and correlation functions
ITSW07 6th December 2001
16:45 to 17:15
Constructions of classical dynamical r-matrices
ITSW07 7th December 2001
09:30 to 10:15
Vacuum expectation values of the fields and classical solutions
ITSW07 7th December 2001
10:15 to 10:45
B Pelloni The Fokas transform method and spectral theory revisited
ITSW07 7th December 2001
11:30 to 12:15
Exact finite size effects in Sine-Gordon and Super-Sine-Gordon
ITSW07 7th December 2001
13:45 to 14:30
JM Evans Symmetric spaces and hierarchies
ITSW07 7th December 2001
14:30 to 15:15
Supersymmetric Calogero-Moser-Sutherland
ITSW07 7th December 2001
16:00 to 16:45
Quantum Calogero-Moser models, integrability for all root systems
ITSW07 7th December 2001
16:45 to 17:15
The Heun equation and the Calogero-Moser-Sutherland model
ITSW07 8th December 2001
09:30 to 10:15
BL Feigen Vertex algebras related to small quantum groups
ITSW07 8th December 2001
10:15 to 10:45
Special solutions of Painlev\`e equations
ITSW07 8th December 2001
11:30 to 12:15
Integrability and perturbation theory
ITS 10th December 2001
15:00 to 16:30
Finite gap solutions of the vector nonlinear Schroedinger equation
Manakov first demonstrated integrability of the vector nonlinear Schroedinger equation (VNSE). Here, I will discuss difficulties which arise when addressing finite gap solutions to this equation. The algebraic curve associated with the VNSE is trigonal, rather than of the hypergeometric type obtained in the scalar problem.
ITS 12th December 2001
11:00 to 12:30
Reductions and hodograph solutions of the dispersionless KP hierarchy
A general scheme for analysing reductions of dispersionless integrable hierarchies preserved. It is based on a method for determining the S-function by means of a system of first-order differential equations. Compatibility systems of nonlinear partial differential equations of Bourlet type characterising both reductions and hodograph solutions of the dKP hierarchy are obtained. Examples are given.
ITS 13th December 2001
14:00 to 15:00
SP Tsarev The Monge problem: does it really help to park your car?
We give the basic facts about the current state and different generalisations of the problem first studied by Gaspar Monge: given one (!) ODE for two (!) functions
F(x, y, y', z, z') = 0, y = y(x), z = z(x), (1)

is it possible to give its complete parametric solution
x = x(t, u, u', u'', ...),
y = y(t, u, u', u'', ...),
z = z(t, u, u', u'', ...),

where t is a new parameter, and u = u(t) is a new arbitrary function ?
Recently problems of similar form found applications in optimal control ("flat systems of ODEs"). Obviously this problem also deserves attention in the framework of integrable systems.

ITS 13th December 2001
15:00 to 15:30
Wronskian addition theorem for sine functions and isospectral deformations of Darboux-Poeshl-Teller potentials
ITSW08 17th December 2001
09:30 to 11:00
T Fokas Differential forms, spectral theory and boundary value problems
ITSW08 17th December 2001
11:30 to 12:30
Rigorous aspects of boundary value problems on the half-line
ITSW08 17th December 2001
14:00 to 15:00
A naive method for solving the NLS equation on the semi-line
ITSW08 17th December 2001
16:00 to 16:45
BV problems for linear PDE's
ITSW08 17th December 2001
16:45 to 17:15
S Kamvissis Zero dispersion limit boundary value problems
ITSW08 18th December 2001
09:30 to 10:30
Boundary value problems in time-dependent domains
ITSW08 18th December 2001
10:30 to 11:30
J Leon The Dirichlet problem for sine-Gordon in the light cone
ITSW08 18th December 2001
11:45 to 12:30
Y Antipov The modified Helmholtz equation on the semi-strip
ITSW08 18th December 2001
14:00 to 15:00
D Crowdy Explicit integral solutions for the plane elastostatic semi-strip
ITSW08 18th December 2001
16:00 to 16:45
Features of IST for KDV starting from the t-axis
ITS 19th December 2001
11:00 to 12:30
VS Novikov Perturbative symmetry approach and integrability conditions for non- local equations