Articles published in 2001
- Book Review by P A Clarkson
- Complex Angle Variables for Constrained Integrable Hamiltonian Systems
- UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension
- Taming Spatiotemporal Chaos by Impurities in the Parametrically Driven Damped Nonlinear Schrödinger Equation
- Correctors for Some Nonlinear Monotone Operators
- Nonlinear Models in Quantum Optics through Quantum Algebras
- Two-Photon Algebra and Integrable Hamiltonian Systems
- Peakon-Antipeakon Interaction
- Response Functions of Spiral Wave Solutions of the Complex GinzburgLandau Equation
- On Bilinear Invariant Differential Operators Acting on Tensor Fields on the Symplectic Manifold
- Threshold Behavior for Nonlinear Wave Equations
- Fractal and Chaotic Solutions of the Discrete Nonlinear Schrödinger Equation in Classical and Quantum Systems
- Sp(2) Quantization of Solitonic Theories
- Bilinear Approach to Supersymmetric KdV Equation
- On Algebraic Integrability of the Deformed Elliptic CalogeroMoser Problem
- A Hidden Hierarchy for GD4
- Orthogonalization of Graded Sets of Vectors
- Algebraic Linearization of Hyperbolic RuijsenaarsSchneider Systems
- Superanalogs of the Calogero Operators and Jack Polynomials
- On Huygens' Principle for Dirac Operators and Nonlinear Evolution Equations
- Hard Loss of Stability in Painlevé-2 Equation
- CalogeroMoser Systems and Super YangMills with Adjoint Matter
- Amplitude-Dependent Oscillations in Gases
- Inhomogeneous Burgers Lattices
- Asymptotic Lattices and W-Congruences in Integrable Discrete Geometry
- Quantization of Soliton Cellular Automata
- Integrability and Explicit Solutions in Some Bianchi Cosmological Dynamical Systems
- Brownian Motion on a Smash Line
- Painlevé Analysis and Singular Manifold Method for a (2 + 1) Dimensional Non-Linear Schrödinger Equation
- Reflectionless Analytic Difference Operators I. Algebraic Framework
- Analysis of Timing Jitter for Ultrashort Soliton Communication Systems Using Perturbation Methods
- Bihamiltonian Geometry and Separation of Variables for Toda Lattices
- Asymptotic Solutions of the Whitham Equations
- KAM Theorem for the Nonlinear Schrödinger Equation
- Beyond Nonlinear Schrödinger Equation Approximation for an Anharmonic Chain with Harmonic Long Range Interactions
- Symmetry, Singularities and Integrability in Complex Dynamics III: Approximate Symmetries and Invariants
- Symplectic Structure of the Painlevé Test
- Some Recent Results on Integrable Bilinear Equations
- Singular Solution of the Liouville Equation under Perturbation
- The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
- Nonlinear Gauge Transformation for a Quantum System Obeying an Exclusion-Inclusion Principle
- On Integrable Discretization of the Inhomogeneous Volterra Lattice
- Some Fourth-Order Ordinary Differential Equations which Pass the Painlevé Test
- Construction of Variable Mass Sine-Gordon and Other Novel Inhomogeneous Quantum Integrable Models
- Hidden N = (2|2) Supersymmetry of the N = (1|1) Supersymmetric Toda Lattice Hierarchy
- Nonlinear Renormalization Group Flow and Optimization
- Torsional Travelling Waves in DNA
- A New Class of Integrable Newton Systems
- Invariants of PL Manifolds from Metrized Simplicial Complexes. Three-Dimensional Case
- Integrability and Non-Integrability of Planar Hamiltonian Systems of Cosmological Origin
- A Simple Family of Non-Local Poisson Brackets
- First Integrals and Parametric Solutions for Equations Integrable Through Lie Symmetries
- WhithamToda Hierarchy in the Laplacian Growth Problem
- A System of Four ODEs: The Singularity Analysis
- Topological Solitons in Discrete Space-Time as the Model of Fermions
- The Shapovalov Determinant for the Poisson Superalgebras
- Self-Dual ChernSimons Solitons and Quantum Potential
- Enveloping Superalgebra U(osp(1|2)) and Orthogonal Polynomials in Discrete Indeterminate
- Soliton Resonances, Black Holes and Madelung Fluid
- The Solution of Chain of Quantum Kinetic Equations of Bogoliubov for Bose Systems, Interacting by Delta Potential
- Reflectionless Analytic Difference Operators (AOs): Examples, Open Questions and Conjectures
- Elbow Scattering and Boundary Value Problems of NLPDE
- Universal Lax Pair for Generalised CalogeroMoser Models
- Reflectionless Analytic Difference Operators II. Relations to Soliton Systems
- A Finite Dimensional Completely Integrable System Associated with the WKI- and Heisenberg Hierarchies
- The KaldorKalecki Model of Business Cycle as a Two-Dimensional Dynamical System
- The Investigation into New Equations in (2 + 1) Dimensions
- Change of the Time for the Toda Lattice
- On Representation of the PQ Pair Solution at the Singular Point Neighborhood
- Matrix Integrals and the Geometry of Spinors
- A Dynamical System: Mars and its Satellite
- A Pivotal Model for the (1 + 1)-Dimensional Heisenberg and Sigma Models
- Quasi-Bi-Hamiltonian Systems Obtained from Constrained Flows
- Dynamics of Soliton-Like Excitations in a Chain of a Polymer Crystal: Influence of Neighbouring Chains Mobility
- Addendum to: "Coupled KdV Equations of Hirota-Satsuma Type" (J. Nonlin. Math. Phys. Vol. 6, No.3 (1999), 255262)
- Solving the Difference Initial-Boundary Value Problems by the Operator Exponential Method
- Volume Preserving Multidimensional Integrable Systems and NambuPoisson Geometry
- A Tree of Linearisable Second-Order Evolution Equations by Generalised Hodograph Transformations
- Dark Equations
- A Finite Dimensional Analog of the Krein Formula
- Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems
- Least Action Principle for an Integrable Shallow Water Equation
- Symmetry, Singularities and Integrability in Complex Dynamics V: Complete Symmetry Groups of Certain Relativistic Spherically Symmetric Systems
- Random Groups in the Optical Waveguides Theory
- On Anomalies in Classical Dynamical Systems
- Integrable Discretizations of Some Cases of the Rigid Body Dynamics
- On Testing Integrability