Nonlinear Evolution Equations and Dynamical Systems
The Table of Contents for the book is as follows:
PART 1. ONE-DIMENSIONAL MODELS
Integrability of the Boundary Value Problems for the Ernst Equations
On Expression of Solutions to Whitham–Type Equations in Terms of Abelian Integrals
Iterative Procedure as Equation of Motion
Asymptotics of Solutions of the Painlevé–1 Difference Analogue
Deep Reductions for Matrix Lax Systems, Invariant Forms and Elementary Darboux Transforms
Representation of Time–Dependent One–Dimensional Hamiltonians in terms of their First Integrals
Explicit Solutions of the Generalized Ginzburg–Landau Equation from Linear Systems
Positon Solutions of the sinh–Gordon Equation
Positons of the Modified Korteweg de Vries–Equation
PART 2. MORE DIMENSIONAL MODELS
Curved Asymptotic Solitons of the Kadomtsev–Petviashvili Equation
Multidimensional Topological Magnetics admitting Bilinear Representation
Local Nature of the Self–Similar Collapsing Structures described by the Nonlinear Schrödinger Equation
Hamiltonian Theory over Noncommutative Rings and Integrability
The 2 + 1 Dimensional Integrable Sine–Gordon Equation
Resolvent Method for Two–Dimensional Inverse Problems
On a Modification of the Painlevé Test for the BLP–Equation
Spectral Transform and Soliton Perturbations
Solution of Boundary Value Problem on a Plane and Half-Plane by Inverse Scattering Transform Vortices in the Sine–Gordon System
On the
Explosing Gaussons
Skyrmions in Higher Homotopic Classes
Painlevé Property in 3 + 1–Dimensional Chiral Models
Boundary Conditions Completely Compatible with the Integrability
PART 3. ALGEBRAIC, GEOMETRIC, DIRECT AND OTHER ALIKE METHODS
On Exact Solutions for some Integrable Nonlinear Equations of the Schrödinger Type
Some Soliton Equations from Self–Dual Yang–Mills Equations
Self–Dual Yang–Mills Equations and the Principal Chiral Model
Integrability for Algebraic Equations, Functional Equations and Cellular Automata
N = 3 Supersymmetric Extension of KdV Equation
Differential Equations for Riemann and Prym Theta-Functions
On a Direct Connection of Symmetries and Virasoro Action
Generalized Schwarzian KdV Equations
Self–Dual Configurations of Yang–Mills Fields in Classical and Quantum Regions
Self–Similarity in the KdV Hierarchy Geometry of the String Equations
Identity of Fuchs Indices and Painlevé Resonances: New No–Log Conditions
PART 4. QUANTUM MODELS
Polynomial Deformations of Lie Algebras in Nonlinear Problems of Quantum Many–Body Physics
The Curved Momentum Space, q-Plane Structures and Ultraviolet Divergencies
Multilocal Fields and Quarks
Some QCD Nonlinear Equations and Newtonian Iterative Scheme for their Solutions
Simple Semiclassical Approach to Quantum 1–D Antiferro-magnetism
Multi-Point Correlators of the Impenetrable Bose Gas
Radiation Perturbation Theory in Gravity and Quantum Universe as a Hydrogen Atom
PART 5. APPLICATIONS AND DYNAMICAL SYSTEMS
On a Nonlocal, Nonlinear Schrödinger Equation occurring in Plasma Physics
On a Nonlocal Zakharov Equation
Bifurcations and Chaos in Josephson Lattices
Numerical Investigation of Dynamical Response Functions for the Scalar φ4–Lattice Model near the Temperature of Dynamical Phase Transition
On Possibility of Initial Approximation Construction for Iterative Newton's Scheme by Graphics Means
Nonlinear Propagation of Ultrashort Acoustic Video Pulses in One–Dimensional Parametric Crystal
Two Exact Solutions for Disclinations in Elastic Continuum Media
Solution of Nonlinear Inverse Problem using Regularized Iterative Processes for Designing the Magnetic System
Dynamical Solitons in One–Dimensional Nonlinear Diatomic Chain
Particle Like Solutions of the Continuum Biexciton Model
Spectral Calculation Method for Nonlinear Dynamics of Laser Beams in Resonant Media
Classification of Toda Type Scalar Lattices
Propagation of Ultrashort Electromagnetic Video Pulses in Three and Four-Level Media
Integrability Aspects of a Higher Order Nonlinear Schrödinger Equation in Nonlinear Optics
Two–Dimensional Nonlinear Sigma Models and Sympletic Geometry on Loop Spaces of (Pseudo) Riemannian Manifolds
PART 6. ADDENDUM
Hamiltonian Systems of Hydrodynamic Type and Constant Curvature Metrics
Inverse Spectral Transform for the Modified Kadomtsev–Petviashvili Equation and Dromion Solution for the Ishimori Equation
On One Integrable Systems Family of Interacting Oscillators
Program
Poster Session
List of Participants
