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Timetable (ITSW01)

NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting

Tuesday 24th July 2001 to Tuesday 31st July 2001

Tuesday 24th July 2001
14:00 to 17:00 Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
Wednesday 25th July 2001
08:30 to 09:00 Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
09:00 to 09:05 Welcome from the Director, Professor HK Moffatt
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:05 to 09:30 A Degasperis ([Rome])
Collisions between one and two dimensional solitons
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:30 to 09:55 Bispectrality for maxtrix differential equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:55 to 10:20 AK Pogrebkov ([SMI])
On the two-dimensional inverse scattering for the perturbed 1-soliton potentials
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:20 to 10:45 Integrable and nonintegrable evolution equations possessing lots of periodic trajectories:analytical theory
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:45 to 11:10 Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
11:10 to 11:35 Numerical simulation of the motion of an(integrable \& non-integrable) system of interacting rotators in the plane
Session: NEEDS - Nonlinear Evolution Equations and ynamical Systems XVth Meeting
INI 1
11:35 to 12:00 Applications of inverse scattering to some finite dimensional integrable systems
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:00 to 12:25 Two dimensional Calogero-Moser model
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:30 to 13:30 Lunch at the Centre for Mathematical Sciences (CMS)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
14:00 to 14:25 Normal forms for nonlinear resonance of embedded solitons
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:25 to 14:50 Periodic solutions of non-autonomous second order differential inclusions systems
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:50 to 15:15 On equations solvable by the inverse scattering method
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
15:15 to 15:45 Tea
Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
15:45 to 16:10 Symmetries and exact solutions of the Schwarz-Korteweg de Vries equation
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:10 to 16:35 A criterion of separability for natural hamiltonian systems
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:35 to 17:00 Driven Newton equations and time-dependent separable potentials
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:00 to 17:25 Conserved densities and generalised symmetries of nonlinear differential-difference equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:25 to 17:50 Integrable systems and number theory
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:50 to 18:15 Prolongations of vector fields and invariants by derivation
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
18:45 to 19:15 Dinner at Fitzwilliam College (RESIDENTS ONLY)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
Thursday 26th July 2001
09:00 to 09:25 TBA
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:25 to 09:50 V Sokolov ([LITP])
A new integrable case for the Kirchhoff equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:50 to 10:15 TBA
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:15 to 10:40 The period map for pulse propagation in nonlinear optical dm fibres
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:40 to 11:10 Coffee break
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
11:10 to 11:35 R Bullough ([UMIST])
Quantum integrable \& non-integrable nonlinear Schroedinger models for realisable Bose-Einstein condensation in n+1 dimensions (n= 1, 2, 3)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
11:35 to 12:00 Modeling and analyzing fluid dynamics in the Euler-Poincar\'{e} framework
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:00 to 12:25 L Friedland ([Jerusalem])
From solar system to solitons and vortices: pattern formation by synchronisation
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:30 to 13:30 Lunch at the Centre for Mathematical Sciences (CMS)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
14:00 to 14:25 Dynamics of the bubble expansion in a metastable medium
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:25 to 14:50 V Koutvisky ([IZMIRAN])
The structure of singularities arising in the course of the Newtonian collapse of dust-like matter
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:50 to 15:15 Asymptotic analysis of the autoresonance phenomenon
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
15:15 to 15:45 Tea
Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
15:45 to 16:10 On semiclassical limit of the focusing NLS with pure radiation initial data
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:10 to 16:35 Pfaffian Hierarchies
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:35 to 17:00 H Heredero ([Complutense])
Integrable fully non-linear evolution equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:00 to 17:25 The unreasonable effectiveness of integrable models. Connection to the topological field theory
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:25 to 17:50 Integrable models related to Frobenius manifolds
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
18:45 to 19:15 Dinner at Fitzwilliam College (RESIDENTS ONLY)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
Friday 27th July 2001
09:00 to 09:25 Solutions of the dispersionless KP hierarchy and quasiconformal maps
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:25 to 09:50 S Agafonov ([Loughborough])
Imbedded circle patterns with the combinatorics of the square grid and discrete Painlev\'e equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:50 to 10:15 Asymptotic nets, their discretisation and reductions
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:15 to 10:40 R Balakhrishnan ([INMS])
Moving curves and soliton equations: some new results
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:40 to 11:10 Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
11:10 to 11:35 Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
11:35 to 12:00 Compatible flat metrics and integrable reductions of the Lam\'e equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:00 to 12:25 J Sanders ([Vrije, Amsterdam])
Integrable systems and Riemannian manifolds with constant curvature
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:30 to 13:30 Lunch at the Centre for Mathematical Sciences (CMS)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
14:00 to 14:25 Dispersionless integrable hierarchies and the quasi-classical d-bar dressing method
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:25 to 14:50 E Medina ([Cadiz])
Reductions and hodograph solutions of the dispersionless KP hierarchy
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:50 to 15:15 Bourlet integrability of the N-reductions of the dispersionless KP hierarchy
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
15:15 to 15:45 Tea
Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
15:45 to 16:10 Integrable systems in null-K\"ahler geometry
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:10 to 16:35 Solitons and almost-intertwining matrices
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:35 to 17:00 H Kakuhata ([Toyama])
Rotating loop soliton of the coupled dispersionless equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:00 to 17:25 On the use of the Lie group machinery for establishing conditions for asymptotic integrability
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:25 to 18:15 From Burgers equation to linear difference-differential equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
18:45 to 19:15 Dinner at Fitzwilliam College (RESIDENTS ONLY)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
19:30 to 18:00 Poster session discussion
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
Saturday 28th July 2001
09:00 to 09:25 TBA
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:25 to 09:50 Algebro-geometric Approach to the Ernst equation
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:50 to 10:15 V Enolskii ([Imperial])
On the trigonal Abelian functions
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:15 to 10:40 Algebro-geometric solution of the Riemann-Hilbert problem for a class of non-hyperelliptic curves
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:40 to 11:10 Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
11:10 to 11:35 P Grinevich ([LITP])
Approximation theorem for the focusing periodic nonlinar Schrodinger equation and the filament equation
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
11:35 to 12:00 The geometry of the classical solutions of the Garnier systems
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:30 to 13:30 Lunch at the University Centre, Mill Lane, Cambridge
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
14:00 to 14:25 Some remarks on separation of variables for Lax and bihamiltonian systems
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:25 to 14:50 Bi-Hamiltonian aspects of the Neumann system
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:50 to 15:15 Recursion operator of evolution equations having polynomial and rational Lax representation
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
15:15 to 15:45 Tea
Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
15:45 to 16:10 On the invariant separated variables
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:10 to 16:35 Lie symmetries of multidimensional difference equations and lattices
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:35 to 17:00 Homoclinic orbits for the double discrete sine-Gordon equation
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:00 to 17:25 Integration of Hamiltonians with generalized cubic and quartic potentials
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:25 to 17:50 Higher analogies of Painlev\'e equations and their properties
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:50 to 18:15 TBA
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
18:45 to 19:15 Dinner at Fitzwilliam College (RESIDENTS ONLY)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
Monday 30th July 2001
09:00 to 09:25 General theory of the canonical B\"acklund transformations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:25 to 09:50 P Estevez ([Salamanca])
Separation of variables of a generalised porous medium equation with nonlinear source
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
09:50 to 10:15 R Conte ([CEA])
The two sequences of birational transformations of the Painlev\'e equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:15 to 10:40 On the positivity of solutions for dissipative partial differential equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
10:40 to 11:10 Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
11:10 to 11:35 N Joshi ([Adelaide])
New Painlev\'e hierarchies
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
11:35 to 12:00 O Costin ([Rutgers])
Equivalent of the Painlev\'e property for difference equations and study of their solvability
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:00 to 12:25 A new family of four dimensional symplectic and integrable mappings
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
12:30 to 13:30 Lunch at the Centre for Mathematical Sciences
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
14:00 to 14:25 Topology of the isospectral manifolds of finite and periodic Toda lattices
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:25 to 14:50 Duality in random matrices and biorthogonal polynomials
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
14:50 to 15:15 R Ivanov ([NUI-Galway])
On the dressing method for the generalised Zakharov-Shabat system
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
15:15 to 15:45 Tea
Unknown
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
15:45 to 16:10 Hilbert formulation of spectral problem on the semi-line, applications to SRS and sine-Gordon
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:10 to 16:35 Two dimensional PDEs in polygonal domains
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
16:35 to 17:00 Stefan problems for continuous and discrete models
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:00 to 17:25 S Manakov ([ITP])
Initial-boundary value problems for soliton equations
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:25 to 17:50 S Boscolo ([Aston])
Stable self-similar parabolic optical solitary waves
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
17:50 to 18:05 On the Dubrovin equations and the trace formulae for the Finite-gap potentials
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
INI 1
18:45 to 19:15 Dinner at Fitzwilliam College (RESIDENTS ONLY)
Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons