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 –Dressing Method: –Dressing on Nontrivial Background and Exact Solutions of the Special Zakharov–Manakov System
  • 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