NEEDS - nonlinear evolution equations and dynamical systems XVth meeting

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Workshop theme

The XVth NEEDS EuroConference is the opening event of the six month programme on Integrable Systems and all the basic aspects of the theory of integrable and nearly integrable systems (differential, partial differential, discrete and functional equations, cellular automata, etc..), together with their relevant applications to the Natural Sciences, are expected to be covered.

Timetable

Tuesday 24th July 2001
14:00 to 17:00	Unknown	No Room Required

Wednesday 25th July 2001
08:30 to 09:00	Unknown	No Room Required
09:00 to 09:05	Welcome from the Director, Professor HK Moffatt	Room 1
09:05 to 09:30	Antonio Degasperis Collisions between one and two dimensional solitons	Room 1
09:30 to 09:55	Bispectrality for maxtrix differential equations	Room 1
09:55 to 10:20	Andrei Pogrebkov Steklov Mathematical Institute, Russian Academy of Sciences On the two-dimensional inverse scattering for the perturbed 1-soliton potentials	Room 1
10:20 to 10:45	Integrable and nonintegrable evolution equations possessing lots of periodic trajectories:analytical theory	Room 1
10:45 to 11:10	Unknown	No Room Required
11:10 to 11:35	Matteo Sommacal Numerical simulation of the motion of an(integrable \& non-integrable) system of interacting rotators in the plane	Room 1
11:35 to 12:00	Jacek Szmigielski University of Saskatchewan Applications of inverse scattering to some finite dimensional integrable systems	Room 1
12:00 to 12:25	Andrei Zotov Two dimensional Calogero-Moser model	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences (CMS)	No Room Required
14:00 to 14:25	Normal forms for nonlinear resonance of embedded solitons	Room 1
14:25 to 14:50	Daniel Pasca University of Kaiserslautern Periodic solutions of non-autonomous second order differential inclusions systems	Room 1
14:50 to 15:15	Viktor Melnikov On equations solvable by the inverse scattering method	Room 1
15:15 to 15:45	Unknown	No Room Required
15:45 to 16:10	Maria Luz Gandarias Universidad de Cádiz Symmetries and exact solutions of the Schwarz-Korteweg de Vries equation	Room 1
16:10 to 16:35	A criterion of separability for natural hamiltonian systems	Room 1
16:35 to 17:00	Hans Lundmark Driven Newton equations and time-dependent separable potentials	Room 1
17:00 to 17:25	Willy Hereman Colorado School of Mines Conserved densities and generalised symmetries of nonlinear differential-difference equations	Room 1
17:25 to 17:50	Jing Ping Wang Vrije Universiteit Amsterdam Integrable systems and number theory	Room 1
17:50 to 18:15	Maria Muriel Universidad de Cádiz Prolongations of vector fields and invariants by derivation	Room 1
18:45 to 19:15	Dinner at Fitzwilliam College (RESIDENTS ONLY)	No Room Required

Thursday 26th July 2001
09:00 to 09:25	Vladimir Zakharov TBA	Room 1
09:25 to 09:50	A new integrable case for the Kirchhoff equations	Room 1
09:50 to 10:15	Harry Braden University of Edinburgh TBA	Room 1
10:15 to 10:40	Victor Novokshenov Pereslavl-Zalessky of the Russian Academy of Sciences The period map for pulse propagation in nonlinear optical dm fibres	Room 1
10:40 to 11:10	Coffee break	No Room Required
11:10 to 11:35	Robin Bullough Quantum integrable \& non-integrable nonlinear Schroedinger models for realisable Bose-Einstein condensation in n+1 dimensions (n= 1, 2, 3)	Room 1
11:35 to 12:00	Modeling and analyzing fluid dynamics in the Euler-Poincar\'{e} framework	Room 1
12:00 to 12:25	Lazar Friedland Hebrew University of Jerusalem From solar system to solitons and vortices: pattern formation by synchronisation	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences (CMS)	No Room Required
14:00 to 14:25	Eugene Maslov Pereslavl-Zalessky of the Russian Academy of Sciences Dynamics of the bubble expansion in a metastable medium	Room 1
14:25 to 14:50	The structure of singularities arising in the course of the Newtonian collapse of dust-like matter	Room 1
14:50 to 15:15	Leonid Kalyakin Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences Asymptotic analysis of the autoresonance phenomenon	Room 1
15:15 to 15:45	Unknown	No Room Required
15:45 to 16:10	Alexander Tovbis Duke University On semiclassical limit of the focusing NLS with pure radiation initial data	Room 1
16:10 to 16:35	Claire Gilson Pfaffian Hierarchies	Room 1
16:35 to 17:00	Integrable fully non-linear evolution equations	Room 1
17:00 to 17:25	Henrik Aratyn University of Illinois at Chicago The unreasonable effectiveness of integrable models. Connection to the topological field theory	Room 1
17:25 to 17:50	Integrable models related to Frobenius manifolds	Room 1
18:45 to 19:15	Dinner at Fitzwilliam College (RESIDENTS ONLY)	No Room Required

Friday 27th July 2001
09:00 to 09:25	Luis Martinez-Alonso Solutions of the dispersionless KP hierarchy and quasiconformal maps	Room 1
09:25 to 09:50	Serguei Agafonov Loughborough University Imbedded circle patterns with the combinatorics of the square grid and discrete Painlev\'e equations	Room 1
09:50 to 10:15	Maciej Nieszporski Uniwersytet w Bialymstoku Asymptotic nets, their discretisation and reductions	Room 1
10:15 to 10:40	Moving curves and soliton equations: some new results	Room 1
10:40 to 11:10	Unknown	No Room Required
11:10 to 11:35	Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces	Room 1
11:35 to 12:00	Oleg Mokhov L.D.Landau Institute for Theoretical Physics, Moscow Compatible flat metrics and integrable reductions of the Lam\'e equations	Room 1
12:00 to 12:25	Jan Sanders Vrije Universiteit Amsterdam Integrable systems and Riemannian manifolds with constant curvature	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences (CMS)	No Room Required
14:00 to 14:25	Boris Konopelchenko Dispersionless integrable hierarchies and the quasi-classical d-bar dressing method	Room 1
14:25 to 14:50	Elena Medina Reductions and hodograph solutions of the dispersionless KP hierarchy	Room 1
14:50 to 15:15	Manuel Manas Universidad Complutense de Madrid Bourlet integrability of the N-reductions of the dispersionless KP hierarchy	Room 1
15:15 to 15:45	Unknown	No Room Required
15:45 to 16:10	Integrable systems in null-K\"ahler geometry	Room 1
16:10 to 16:35	Alex Kasman University of Charleston Solitons and almost-intertwining matrices	Room 1
16:35 to 17:00	Kakuhata Toyama University Rotating loop soliton of the coupled dispersionless equations	Room 1
17:00 to 17:25	Georgy Burde Ben-Gurion University On the use of the Lie group machinery for establishing conditions for asymptotic integrability	Room 1
17:25 to 18:15	Yair Zarmi From Burgers equation to linear difference-differential equations	Room 1
18:45 to 19:15	Dinner at Fitzwilliam College (RESIDENTS ONLY)	No Room Required
19:30 to 18:00	Poster session discussion	No Room Required

Saturday 28th July 2001
09:00 to 09:25	Igor Krichever Columbia University TBA	Room 1
09:25 to 09:50	Algebro-geometric Approach to the Ernst equation	Room 1
09:50 to 10:15	Victor Enolskii On the trigonal Abelian functions	Room 1
10:15 to 10:40	Algebro-geometric solution of the Riemann-Hilbert problem for a class of non-hyperelliptic curves	Room 1
10:40 to 11:10	Unknown	No Room Required
11:10 to 11:35	Piotr Grinevich Approximation theorem for the focusing periodic nonlinar Schrodinger equation and the filament equation	Room 1
11:35 to 12:00	The geometry of the classical solutions of the Garnier systems	Room 1
12:30 to 13:30	Lunch at the University Centre, Mill Lane, Cambridge	No Room Required
14:00 to 14:25	Some remarks on separation of variables for Lax and bihamiltonian systems	Room 1
14:25 to 14:50	Marco Pedroni Bi-Hamiltonian aspects of the Neumann system	Room 1
14:50 to 15:15	Kostyantyn Zheltukhin Bilkent University Recursion operator of evolution equations having polynomial and rational Lax representation	Room 1
15:15 to 15:45	Unknown	No Room Required
15:45 to 16:10	Andrey Tsiganov On the invariant separated variables	Room 1
16:10 to 16:35	Lie symmetries of multidimensional difference equations and lattices	Room 1
16:35 to 17:00	Vassilios Rothos University of Leeds/University of Loughborough Homoclinic orbits for the double discrete sine-Gordon equation	Room 1
17:00 to 17:25	Caroline Verhoeven Integration of Hamiltonians with generalized cubic and quartic potentials	Room 1
17:25 to 17:50	Nikolai Kudryashov Higher analogies of Painlev\'e equations and their properties	Room 1
17:50 to 18:15	Andreas Alois Aigner University of Bristol TBA	Room 1
18:45 to 19:15	Dinner at Fitzwilliam College (RESIDENTS ONLY)	No Room Required

Monday 30th July 2001
09:00 to 09:25	Alexey Shabat L.D.Landau Institute for Theoretical Physics, Moscow General theory of the canonical B\"acklund transformations	Room 1
09:25 to 09:50	Pilar Estevez Universidad de Salamanca Separation of variables of a generalised porous medium equation with nonlinear source	Room 1
09:50 to 10:15	Robert Conte CEA/Saclay The two sequences of birational transformations of the Painlev\'e equations	Room 1
10:15 to 10:40	Michele Bartuccelli University of Surrey On the positivity of solutions for dissipative partial differential equations	Room 1
10:40 to 11:10	Unknown	No Room Required
11:10 to 11:35	New Painlev\'e hierarchies	Room 1
11:35 to 12:00	Ovidiu Costin Equivalent of the Painlev\'e property for difference equations and study of their solvability	Room 1
12:00 to 12:25	A new family of four dimensional symplectic and integrable mappings	Room 1
12:30 to 13:30	Lunch at the Centre for Mathematical Sciences	No Room Required
14:00 to 14:25	Yuji Kodama Ohio State University Topology of the isospectral manifolds of finite and periodic Toda lattices	Room 1
14:25 to 14:50	John Harnad Université de Montréal Duality in random matrices and biorthogonal polynomials	Room 1
14:50 to 15:15	On the dressing method for the generalised Zakharov-Shabat system	Room 1
15:15 to 15:45	Unknown	No Room Required
15:45 to 16:10	Jerome Leon Hilbert formulation of spectral problem on the semi-line, applications to SRS and sine-Gordon	Room 1
16:10 to 16:35	Two dimensional PDEs in polygonal domains	Room 1
16:35 to 17:00	Stefan problems for continuous and discrete models	Room 1
17:00 to 17:25	Sergei Manakov L.D.Landau Institute for Theoretical Physics, Moscow Initial-boundary value problems for soliton equations	Room 1
17:25 to 17:50	Sonia Boscolo Aston University Stable self-similar parabolic optical solitary waves	Room 1
17:50 to 18:05	On the Dubrovin equations and the trace formulae for the Finite-gap potentials	Room 1
18:45 to 19:15	Dinner at Fitzwilliam College (RESIDENTS ONLY)	No Room Required

Speakers

Serguei Agafonov Loughborough University
Andreas Alois Aigner University of Bristol
Henrik Aratyn University of Illinois at Chicago
Michele Bartuccelli University of Surrey
Sonia Boscolo Aston University
Harry Braden University of Edinburgh
Robin Bullough
Georgy Burde Ben-Gurion University
Robert Conte CEA/Saclay
Ovidiu Costin
Antonio Degasperis
Victor Enolskii
Pilar Estevez Universidad de Salamanca
Lazar Friedland Hebrew University of Jerusalem
Maria Luz Gandarias Universidad de Cádiz
Claire Gilson
Piotr Grinevich
John Harnad Université de Montréal
Willy Hereman Colorado School of Mines
Kakuhata Toyama University
Leonid Kalyakin Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences
Alex Kasman University of Charleston
Yuji Kodama Ohio State University
Boris Konopelchenko
Igor Krichever Columbia University
Nikolai Kudryashov
Jerome Leon
Hans Lundmark
Sergei Manakov L.D.Landau Institute for Theoretical Physics, Moscow
Manuel Manas Universidad Complutense de Madrid
Luis Martinez-Alonso
Eugene Maslov Pereslavl-Zalessky of the Russian Academy of Sciences
Elena Medina
Viktor Melnikov
Oleg Mokhov L.D.Landau Institute for Theoretical Physics, Moscow
Maria Muriel Universidad de Cádiz
Maciej Nieszporski Uniwersytet w Bialymstoku
Victor Novokshenov Pereslavl-Zalessky of the Russian Academy of Sciences
Daniel Pasca University of Kaiserslautern
Marco Pedroni
Andrei Pogrebkov Steklov Mathematical Institute, Russian Academy of Sciences
Vassilios Rothos University of Leeds/University of Loughborough
Jan Sanders Vrije Universiteit Amsterdam
Alexey Shabat L.D.Landau Institute for Theoretical Physics, Moscow
Matteo Sommacal
Jacek Szmigielski University of Saskatchewan
Alexander Tovbis Duke University
Andrey Tsiganov
Caroline Verhoeven
Jing Ping Wang Vrije Universiteit Amsterdam
Vladimir Zakharov
Yair Zarmi
Kostyantyn Zheltukhin Bilkent University
Andrei Zotov

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NEEDS - nonlinear evolution equations and dynamical systems XVth meeting

Workshop theme

Timetable

Speakers

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