Organisers: Professor JC Eilbeck (Heriot-Watt), Professor AV Mikhailov (Leeds), Professor PM Santini (Rome), Professor VE Zakharov (Moscow)

Isaac Newton Institute for Mathematical Sciences A Newton Institute Workshop NEEDS - Nonlinear Evolution Equations and Dynamical Systems XVth Meeting 24 Jul - 31 Jul 2001 Timetable: List of participants

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Tuesday 24 July

14.00-17.00 Registration

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Wednesday 25 July

08.30-09.00 Registration

09.00-09.05 Welcome from the Director, Professor HK Moffatt

09.05-09.30 A Degasperis (Rome)

Collisions between one and two dimensional solitons

09.30-09.55 JP Zubelli (IMPA)

Bispectrality for maxtrix differential equations

09.55-10.20 AK Pogrebkov (SMI)

On the two-dimensional inverse scattering for the perturbed 1-soliton
potentials

10.20-10.45 F Calogero (Rome)

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

10.45-11.10 Coffee

11.10-11.35 M Sommacal (Rome)

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

11.35-12.00 J Szmigielski (Saskatchewan)

Applications of inverse scattering to some finite dimensional
integrable systems

12.00-12.25 A Zotov (ITEP)

Two dimensional Calogero-Moser model

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-14.25 D Pelinovsky (McMaster)

Normal forms for nonlinear resonance of embedded solitons

14.25-14.50 D Pasca (Kaiserslautern)

Periodic solutions of non-autonomous second order differential
inclusions systems

14.50-15.15 VK Melnikov (BLTP)

On equations solvable by the inverse scattering method

15.15-15.45 Tea

15.45-16.10 ML Gandarias (Cadiz)

Symmetries and exact solutions of the Schwarz-Korteweg de Vries
equation

16.10-16.35 C Waksjo" (Linko"ping)

A criterion of separability for natural hamiltonian systems

16.35-17.00 H Lundmark (Linko"ping)

Driven Newton equations and time-dependent separable potentials

17.00-17.25 W Hereman (Colorado School of Mines)

Conserved densities and generalised symmetries of nonlinear
differential-difference equations

17.25-17.50 JP Wang (Vrije, Amsterdam)

Integrable systems and number theory

17.50-18.15 C Muriel (Cadiz)

Prolongations of vector fields and invariants by derivation

18.45-19.15 Dinner at Fitzwilliam College (RESIDENTS ONLY)

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Thursday 26 July

09.00-09.25 VE Zakharov (LITP)

TBA

09.25-09.50 V Sokolov (LITP)

A new integrable case for the Kirchhoff equations

09.50-10.15 H Braden (Edinburgh)

TBA

10.15-10.40 VY Novokshenov (IMAT)

The period map for pulse propagation in nonlinear optical dm fibres

10.40-11.10 Coffee

11.10-11.35 R Bullough (UMIST)

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

11.35-12.00 D Holm (LANL)

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

12.00-12.25 L Friedland (Jerusalem)

From solar system to solitons and vortices: pattern formation by
synchronisation

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-14.25 E Maslov (IZMIRAN)

Dynamics of the bubble expansion in a metastable medium

14.25-14.50 V Koutvisky (IZMIRAN)

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

14.50-15.15 L Kalyakin (IMAT)

Asymptotic analysis of the autoresonance phenomenon

15.15-15.45 Tea

15.45-16.10 A Tovbis (UCF)

On semiclassical limit of the focusing NLS with pure radiation
initial data

16.10-16.35 C Gilson (Glasgow)

Pfaffian Hierarchies

16.35-17.00 H Heredero (Complutense)

Integrable fully non-linear evolution equations

17.00-17.25 H Aratyn (UIC)

The unreasonable effectiveness of integrable models. Connection to
the topological field theory

17.25-17.50 J van de Leur (Utrecht)

Integrable models related to Frobenius manifolds

18.45-19.15 Dinner at Fitzwilliam College (RESIDENTS ONLY)

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Friday 27 July

09.00-09.25 L Martinez-Alonso (Complutense)

Solutions of the dispersionless KP hierarchy and quasiconformal maps

09.25-09.50 S Agafonov (Loughborough)

Imbedded circle patterns with the combinatorics of the square grid and
discrete Painleve' equations

09.50-10.15 M Nieszporski (Bialystok)

Asymptotic nets, their discretisation and reductions

10.15-10.40 R Balakhrishnan (INMS)

Moving curves and soliton equations: some new results

10.40-11.10 Coffee

11.10-11.35 E Ferapontov (Loughborough)

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

11.35-12.00 O Mokhov (LITP)

Compatible flat metrics and integrable reductions of the Lame'
equations

12.00-12.25 J Sanders (Vrije, Amsterdam)

Integrable systems and Riemannian manifolds with constant curvature

12.30-13.30 Lunch at the Centre for Mathematical Sciences (CMS)

14.00-14.25 B Konopelchenko (Lecce)

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

14.25-14.50 E Medina (Ca'diz)

Reductions and hodograph solutions of the dispersionless KP hierarchy

14.50-15.15 M Manas (Complutense)

Bourlet integrability of the N-reductions of the dispersionless KP
hierarchy

15.15-15.45 Tea

15.45-16.10 M Dunajski (Oxford)

Integrable systems in null-Ka"hler geometry

16.10-16.35 A Kasman (Charleston)

Solitons and almost-intertwining matrices

16.35-17.00 H Kakuhata (Toyama)

Rotating loop soliton of the coupled dispersionless equations

17.00-17.25 G Burde (Ben-Gurion)

On the use of the Lie group machinery for establishing conditions for
asymptotic integrability

17.25-18.15 Y Zarmi (Ben-Gurion)

From Burgers equation to linear difference-differential equations

18.45-19.15 Dinner at Fitzwilliam College (RESIDENTS ONLY)

19.30 Poster session discussion

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Saturday 28 July

09.00-09.25 I Krichever (NYU)

TBA

09.25-09.50 C Klein (MPI)

Algebro-geometric Approach to the Ernst equation

09.50-10.15 V Enolskii (Imperial)

On the trigonal Abelian functions

10.15-10.40 T Grava (Imperial)

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

10.40-11.10 Coffee

11.10-11.35 P Grinevich (LITP)

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

11.35-12.00 M Mazzocco (Oxford)

The geometry of the classical solutions of the Garnier systems

12.30-13.30 Lunch at the University Centre, Mill Lane, Cambridge

14.00-14.25 G Falqui (SISSA)

Some remarks on separation of variables for Lax and
bihamiltonian systems

14.25-14.50 M Pedroni (Genova)

Bi-Hamiltonian aspects of the Neumann system

14.50-15.15 K Zheltukhin (Nilkent)

Recursion operator of evolution equations having polynomial and
rational Lax representation

15.15-15.45 Tea

15.45-16.10 A Tsiganov (St Petersburg)

On the invariant separated variables

16.10-16.35 D Levi (Rome)

Lie symmetries of multidimensional difference equations and lattices

16.35-17.00 VM Rothos (Loughborough)

Homoclinic orbits for the double discrete sine-Gordon equation

17.00-17.25 C Verhoeven (VUB)

Integration of Hamiltonians with generalized cubic and quartic
potentials

17.25-17.50 N Kudryashov (MEPHI)

Higher analogies of Painleve' equations and their properties

17.50-18.15 AA Aigner (Bristol)

TBA

18.45-19.15 Dinner at Fitzwilliam College (RESIDENTS ONLY)

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Monday 30 July

09.00-09.25 A Shabat (LITP)

General theory of the canonical Ba"cklund transformations

09.25-09.50 P Estevez (Salamanca)

Separation of variables of a generalised porous medium equation with
nonlinear source

09.50-10.15 R Conte (CEA)

The two sequences of birational transformations of the Painleve'
equations

10.15-10.40 M Bartuccelli (Surrey)

On the positivity of solutions for dissipative partial differential
equations

10.40-11.10 Coffee

11.10-11.35 N Joshi (Adelaide)

New Painleve' hierarchies

11.35-12.00 O Costin (Rutgers)

Equivalent of the Painleve' property for difference equations
and study of their solvability

12.00-12.25 R Sahadevan (Madras)

A new family of four dimensional symplectic and integrable mappings

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-14.25 Y Kodama (Ohio State)

Topology of the isospectral manifolds of finite and
periodic Toda lattices

14.25-14.50 J Harnad (Montre'al)

Duality in random matrices and biorthogonal polynomials

14.50-15.15 R Ivanov (NUI-Galway)

On the dressing method for the generalised Zakharov-Shabat system

15.15-15.45 Tea

15.45-16.10 J Leon (Montpellier 2)

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

16.10-16.35 B Pelloni (Imperial)

Two dimensional PDEs in polygonal domains

16.35-17.00 S De Lillo (Perugia)

Stefan problems for continuous and discrete models

17.00-17.25 S Manakov (ITP)

Initial-boundary value problems for soliton equations

17.25-17.50 S Boscolo (Aston)

Stable self-similar parabolic optical solitary waves

17.50-18.00 YV Brezhnev (Kaliningrad)

4-function, Dubrovin's equations and trace formulae for the finite-gap
potentials

17.50-18.05 Y Breshnev (Kaliningrad)

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

18.45-19.15 Dinner at Fitzwilliam College (RESIDENTS ONLY)

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