NEEDS - nonlinear evolution equations and dynamical systems XVth meeting

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Welcome from the Director, Professor HK Moffatt

Antonio Degasperis
Collisions between one and two dimensional solitons

Bispectrality for maxtrix differential equations

Andrei Pogrebkov Steklov Mathematical Institute, Russian Academy of Sciences
On the two-dimensional inverse scattering for the perturbed 1-soliton potentials

Integrable and nonintegrable evolution equations possessing lots of periodic trajectories:analytical theory

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Matteo Sommacal
Numerical simulation of the motion of an(integrable \& non-integrable) system of interacting rotators in the plane

Jacek Szmigielski University of Saskatchewan
Applications of inverse scattering to some finite dimensional integrable systems

Andrei Zotov
Two dimensional Calogero-Moser model

Lunch at the Centre for Mathematical Sciences (CMS)

Normal forms for nonlinear resonance of embedded solitons

Daniel Pasca University of Kaiserslautern
Periodic solutions of non-autonomous second order differential inclusions systems

Viktor Melnikov
On equations solvable by the inverse scattering method

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Maria Luz Gandarias Universidad de Cádiz
Symmetries and exact solutions of the Schwarz-Korteweg de Vries equation

A criterion of separability for natural hamiltonian systems

Hans Lundmark
Driven Newton equations and time-dependent separable potentials

Willy Hereman Colorado School of Mines
Conserved densities and generalised symmetries of nonlinear differential-difference equations

Jing Ping Wang Vrije Universiteit Amsterdam
Integrable systems and number theory

Maria Muriel Universidad de Cádiz
Prolongations of vector fields and invariants by derivation

Dinner at Fitzwilliam College (RESIDENTS ONLY)

Vladimir Zakharov
TBA

A new integrable case for the Kirchhoff equations

Harry Braden University of Edinburgh
TBA

Victor Novokshenov Pereslavl-Zalessky of the Russian Academy of Sciences
The period map for pulse propagation in nonlinear optical dm fibres

Coffee break

Robin Bullough
Quantum integrable \& non-integrable nonlinear Schroedinger models for realisable Bose-Einstein condensation in n+1 dimensions (n= 1, 2, 3)

Modeling and analyzing fluid dynamics in the Euler-Poincar\'{e} framework

Lazar Friedland Hebrew University of Jerusalem
From solar system to solitons and vortices: pattern formation by synchronisation

Lunch at the Centre for Mathematical Sciences (CMS)

Eugene Maslov Pereslavl-Zalessky of the Russian Academy of Sciences
Dynamics of the bubble expansion in a metastable medium

The structure of singularities arising in the course of the Newtonian collapse of dust-like matter

Leonid Kalyakin Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences
Asymptotic analysis of the autoresonance phenomenon

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Alexander Tovbis Duke University
On semiclassical limit of the focusing NLS with pure radiation initial data

Claire Gilson
Pfaffian Hierarchies

Integrable fully non-linear evolution equations

Henrik Aratyn University of Illinois at Chicago
The unreasonable effectiveness of integrable models. Connection to the topological field theory

Integrable models related to Frobenius manifolds

Dinner at Fitzwilliam College (RESIDENTS ONLY)

Luis Martinez-Alonso
Solutions of the dispersionless KP hierarchy and quasiconformal maps

Serguei Agafonov Loughborough University
Imbedded circle patterns with the combinatorics of the square grid and discrete Painlev\'e equations

Maciej Nieszporski Uniwersytet w Bialymstoku
Asymptotic nets, their discretisation and reductions

Moving curves and soliton equations: some new results

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Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces

Oleg Mokhov L.D.Landau Institute for Theoretical Physics, Moscow
Compatible flat metrics and integrable reductions of the Lam\'e equations

Jan Sanders Vrije Universiteit Amsterdam
Integrable systems and Riemannian manifolds with constant curvature

Lunch at the Centre for Mathematical Sciences (CMS)

Boris Konopelchenko
Dispersionless integrable hierarchies and the quasi-classical d-bar dressing method

Elena Medina
Reductions and hodograph solutions of the dispersionless KP hierarchy

Manuel Manas Universidad Complutense de Madrid
Bourlet integrability of the N-reductions of the dispersionless KP hierarchy

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Integrable systems in null-K\"ahler geometry

Alex Kasman University of Charleston
Solitons and almost-intertwining matrices

Kakuhata Toyama University
Rotating loop soliton of the coupled dispersionless equations

Georgy Burde Ben-Gurion University
On the use of the Lie group machinery for establishing conditions for asymptotic integrability

Yair Zarmi
From Burgers equation to linear difference-differential equations

Dinner at Fitzwilliam College (RESIDENTS ONLY)

Poster session discussion

Igor Krichever Columbia University
TBA

Algebro-geometric Approach to the Ernst equation

Victor Enolskii
On the trigonal Abelian functions

Algebro-geometric solution of the Riemann-Hilbert problem for a class of non-hyperelliptic curves

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Piotr Grinevich
Approximation theorem for the focusing periodic nonlinar Schrodinger equation and the filament equation

The geometry of the classical solutions of the Garnier systems

Lunch at the University Centre, Mill Lane, Cambridge

Some remarks on separation of variables for Lax and bihamiltonian systems

Marco Pedroni
Bi-Hamiltonian aspects of the Neumann system

Kostyantyn Zheltukhin Bilkent University
Recursion operator of evolution equations having polynomial and rational Lax representation

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Andrey Tsiganov
On the invariant separated variables

Lie symmetries of multidimensional difference equations and lattices

Vassilios Rothos University of Leeds/University of Loughborough
Homoclinic orbits for the double discrete sine-Gordon equation

Caroline Verhoeven
Integration of Hamiltonians with generalized cubic and quartic potentials

Nikolai Kudryashov
Higher analogies of Painlev\'e equations and their properties

Andreas Alois Aigner University of Bristol
TBA

Dinner at Fitzwilliam College (RESIDENTS ONLY)

Alexey Shabat L.D.Landau Institute for Theoretical Physics, Moscow
General theory of the canonical B\"acklund transformations

Pilar Estevez Universidad de Salamanca
Separation of variables of a generalised porous medium equation with nonlinear source

Robert Conte CEA/Saclay
The two sequences of birational transformations of the Painlev\'e equations

Michele Bartuccelli University of Surrey
On the positivity of solutions for dissipative partial differential equations

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New Painlev\'e hierarchies

Ovidiu Costin
Equivalent of the Painlev\'e property for difference equations and study of their solvability

A new family of four dimensional symplectic and integrable mappings

Lunch at the Centre for Mathematical Sciences

Yuji Kodama Ohio State University
Topology of the isospectral manifolds of finite and periodic Toda lattices

John Harnad Université de Montréal
Duality in random matrices and biorthogonal polynomials

On the dressing method for the generalised Zakharov-Shabat system

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Jerome Leon
Hilbert formulation of spectral problem on the semi-line, applications to SRS and sine-Gordon

Two dimensional PDEs in polygonal domains

Stefan problems for continuous and discrete models

Sergei Manakov L.D.Landau Institute for Theoretical Physics, Moscow
Initial-boundary value problems for soliton equations

Sonia Boscolo Aston University
Stable self-similar parabolic optical solitary waves

On the Dubrovin equations and the trace formulae for the Finite-gap potentials

Dinner at Fitzwilliam College (RESIDENTS ONLY)