XXXI SYMPOSIUM ON MATHEMATICAL PHYSICS May 18-21, 1999, Torun, Poland --------------------- P R O G R A M M E --------------------- Tuesday, May 18 9.00-9.10 Opening address 9.10-9.55 H.-D. Doebner (Clausthal - Zellerfeld) How physical systems hide their symmetry: The stationary KdV hierarchy and so(2,1) 9.55-10.40 R. Conte (Saclay) Analytic expression of hydrothermal waves 10.40-11.10 Coffee break 11.10-11.55 R.F. Streater (London) The quantum information manifold for relatively bounded forms 11.55-12.40 K. Nakamura (Osaka) Asymptotic Expansions Beyond All Orders: Asymptotic Description of Chaotic Dynamics 12.40-14.30 Lunch break 14.30-14.50 H.-H. Borzeszkowski (Berlin) Mach's Principle and General Relativity: On Einstein- Mayer-type Tetrad Theories of Gravitation 14.50-15.10 J.J. Slawianowski (Warszawa, Berlin) Various aspects of the Born-Infeld nonlinearity 15.10-15.30 R. Leandre (Nancy) A stochastic approach to some objects of conformal fields theory 15.30-15.50 G. Hunter (Toronto) The photon: an electromagnetic soliton 15.50-16.10 Coffee break 16.10-16.30 K.-E. Hellwig (Berlin) Two Q-bits in a cavity 16.30-16.50 J. Burzlaff (Dublin) Statics and Dynamics of Abrikosov Vortices and of Related Solitons 16.50-17.10 V. Lahno (Poltava) On Classification of Equations for Scalar Field Satisfying the Einstein and Galilei Relativity Principles 17.10-17.30 V. Yurov (Kaliningrad) Closed Chains of the Darboux and Laplace Transformations For the Goursat Equation 17.30-17.45 Break 17.45-18.05 R.M. Cherniha (Kyiv) A complete description of Lie symmetries of the nonlinear reaction-diffusion systems 18.05-18.25 I. Kanatchikov (Warszawa, Tallin) On quantization of gravity from a pre-canonical point of view 18.25-18.45 S.Leble (Gdansk) Division of differential operators, interwine relations and Darboux transformations Wednesday, May 19 9.00-9.45 A. Prykarpatsky (Lviv) The Liouville-Arnold Integrability by Quadratures Problem: a Symplectic Theory Solution 9.45-10.30 O. Melsheimer (Marburg) A tentative framework for a theory of macroscopic systems inside QFT 10.30-11.00 Coffee break 11.00-11.45 M. Lakshmanan (Tiruchirapalli) Shape-Changing Collisions of Coupled Bright Solitons in Optical Fibers 11.45-12.30 A. Kundu (Calcutta) Algebraic Construction of Variable-Mass Sine-Gordon and other Integrable Inhomogeneous Models 12.30-13.15 ROMP Editorial Board Meeting 12.30-14.30 Lunch break 14.30-14.50 R. Zhdanov (Kyiv) On Separable Schroedinger Equations 14.50-15.10 J. Zagrodzinski (Warszawa) Soliton and Periodic Processes as Solutions of Functional Equations 15.10-15.30 R. Gielerak (Zielona Gora) Unbounded Perturbations of the Free Bose Gas 15.30-15.50 J. Lawrynowicz (Lodz) An Introduction to Bitwistors 15.50-16.10 Coffee break 16.10-18.00 POSTER SESSION 19.30 BANQUET Thursday, May 20 9.00-9.45 A. Parker (Newcastle) On `Regular' and `Anomalous' Solitons of Fifth-Order Equations and an Iteration Method 9.45-10.30 M. Blaszak (Poznan) Bi-Hamiltonian chains on spectral curves 10.30-11.00 Coffee break 11.00-11.45 B. A. Kupershmidt (Tullahoma) Quantum Hamilton-Jacobi Equation and Quantum Hamilton- Jacobi Theory 11.45-12.30 S. Rauch-Wojciechowski (Linkoping) Quasi-potential systems: a new theory encompassing the classical separability theory for the Hamilton-Jacobi equation 12.30-14.30 Lunch break 14.30-14.50 M. Luz-Gandarias (Puerto Real Cadiz) Symmetry analysis and solutions for a family of Cahn-Hilliard equations 14.50-15.10 O. Stoyanov (Sofia, New Brunswick) Coadjoint Poisson actions of Poisson-Lie groups 15.10-15.30 Xing-Biao Hu (Beijing) Some new results on the Blaszak-Marciniak 3-field and 4- field lattices 15.30-15.50 F. Mueller-Hoissen (Goettingen) A notion of complete integrability in noncommutative geometry 15.50-16.10 Coffee break 16.10-16.30 A. Szum (Poznan) Hamiltonian dynamical systems in (1+1) and (2+1) dimensions 16.30-16.50 A. Sergyeyev (Kyiv) On time-dependent symmetries and formal symmetries of evolution equations 16.50-17.10 A. V. Shchepetilov (Moscow) Invariant treatment of the two-body problem with central interaction on simply connected spaces of constant sectional curvature 17.10-17.30 Z. Popowicz (Wroclaw) Supercomplexifications and Odd Bihamiltonian Structures for Nes SUSY N=2,4 (Modified) Korteweg-de Vries Equations 17.30-17.45 Break 17.45-18.05 E. V. Zemlyanaya (Dubna) Stable complexes of parametrically driven damped nonlinear Schroedinger solitons 18.05-18.25 V. Vladimirov (Kyiv) Soliton-like solutions and other wave patterns in the non-local model of structured media Friday, May 21 9.00-9.45 F. Takens (Groningen) Multifractal analysis for entropies 9.45-10.30 V. Baladi (Geneve) Decay of Random Correlation Functions for iid Unimodals 10.30-11.00 Coffee break 11.00-11.45 H. True (Lyngby) Bifurcations and Chaos in Railway Vehicle Dynamics 11.45-12.30 A. Majewski (Gdansk) On noncommutative Liouville space technique 12.30-14.30 Lunch break 14.30-14.50 N.V.Ustinov (Kaliningrad) Transformatios of ordinary differential equations 14.50-15.10 M. Pietrzyk (Warszawa) Are there soliton-like solutions of coupled (1+1)- and (2+1)-dim NSE? 15.10-15.30 S. Akashi (Niigata) Embedding of symbolic dynamics into H*-algebras 15.30-15.50 Coffee break 15.50-16.10 W. Slomczynski (Krakow) Entropy of Markov operators, fractals and the arrow of time 16.10-16.30 K.Stefanski (Bydgoszcz) Various phenomena in chaotic and hyperchaotic maps 16.30-16.40 Closing statement 18.00 GUIDED WALK AROUND TOWN AND "WINE AND CHEESE" PARTY ---------------------------------------------------------------------- POSTER SESSION, Wednesday, May 19, 16.10 h B.B.BARDIN (Moscow) Periodic solutions of a Lyapunov system in extremal resonance case L.BENAYOUN (Grenoble, Torun) Generation of equations of state by contact transformations in thermodynamics K.BLYUSS (Dniepropetrovsk) Stochasticity of Nonlinear Waves and Solitons of Korteweg-de Vries Equation D.CHRUSCINSKI (Torun) SO(2) symmetry of the Maxwell p-form theory J.CZYZ, A.WIECHETEK (Warszawa, Siedlce) Some Periodic, Smooth or Singular Wave Functions: Their Non-linear Differential Equations and Number Theory Implications M.DE-COCK, P.SPINCEMAILLE (Leuven) Statistics of Vectors Using Gram Matrices J.GARECKI (Szczecin) Remarks on the Bergmann-Thompson Expression on Angular Momentum in General Relativity K.GOZDZIEWSKI, A.J.MACIEJEWSKI (Torun) Stability vs. Integrability - Application of the Kozlov Theorem for Searching Integrable Cases J.JURKOWSKI (Torun) The meaning of contact Hamiltonian I.KANATCHIKOV (Warszawa, Tallin) Duffin-Kemmer Formulation of Covariant Hamiltonian Dynamics in Field Theory M.KNYAZEV (Minsk) Two-kink states for a system of two scalar fields M.KUNA (Gdansk) Nonlinear operator equations: Darboux invariance and spectra A.MAKARENKO (Kiev) New Nodel Differential Equations in Mathematical Physics for Hydrodynamics with Memory Effects M.MICHALSKI (Torun) On statistical mechanics of superadditive lattice systems J.NAPORA (Katowice) On Moser type reduction of Riccati-Abel integrable equations A.M.SCARFONE (Torino) Nonlinear Gauge Transformations for a Class of Schroedinger Equations Containing Complex Nonlinearities G.SHPENKOV (Bydgoszcz), L.G.KREIDIK (Minsk) A wave field of probability and the structure of matter A.SZUM (Poznan) Bi-Hamiltonian formulation of lattice systems by Dirac reduction of Poisson pencil T.TSUCHIDA (Tokyo) Integrable Discretization of the Coupled Nonlinear Schroedinger Equations S.I.VACARU (Chisinau) Generalized Finsler Theromodynamics and Locally Anisotropic Black Holes R.WOJNAR (Warszawa) Nonlinear heat equation and thermodiffusion A.YOSHIMOTO (Kusatu) Numerical study of barrier tunneling in a simple 2- dimensional autonomous systems A.V.YUROV (Kaliningrad) On the Problem of Evolution of an Intrusive Density Lens and the Dynamics of Vortex Filament A.A.ZAITSEV (Kaliningrad) Theoretical analyses of stationary nonlinear waves on a fluid surface