NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting
Tuesday 24th July 2001 to Tuesday 31st July 2001
| 14:00 to 17:00 |
Unknown Session: NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
