Articles published in 2003

Foreword
Foreword and list of participants
Comparisons Between Vector and Matrix Padé Approximants
NavierStokes Equations with Nonhomogeneous Dirichlet Data
Noncentral Extensions as Anomalies in Classical Dynamical Systems
On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation
The Cauchy Problem for the Nonlinear Schrödinger Equation on a Compact Manifold
Hierarchies of Difference Equations and Bäcklund Transformations
A Heat Transfer with a Source: the Complete Set of Invariant Difference Schemes
A New Discrete Hénon-Heiles System
The Intermediate Surface Diffusion Flow on Spheres
Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations
Ehrenpreis Type Representations and Their RiemannHilbert Nonlinearisation
The Poincaré–Nekhoroshev Map
On the Transformations of the Sixth Painlevé Equation
The Derivative Nonlinear Schrödinger Equation in Analytic Classes
Nonlinear Schrödinger, Infinite Dimensional Tori and Neighboring Tori
Moyal Deformation of 2D Euler Equation and Discretization
The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations
The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions
A Remark on Nonlocal Symmetries for the CalogeroDegasperisIbragimovShabat Equation
On a q-Difference Painlevé III Equation: I. Derivation, Symmetry and Riccati Type Solutions
Essential Spectrum Due to Singularity
Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras
On Frequencies of Small Oscillations of Some Dynamical Systems Associated with Root Systems
On the Lax pairs of the continuous and discrete sixth Painlevé equations
On a Two-Parameter Extension of the Lattice KdV System Associated with an Elliptic Curve
On CP 1 and CP 2 Maps and Weierstrass Representations for Surfaces Immersed into Multi-Dimensional Euclidean Spaces
Polynomial Growth for Birational Mappings from Four-State Spin Edge Models
On a Certain Fractional q-Difference and its Eigen Function
Representations of the Conformal Lie Algebra in the Space of Tensor Densities on the Sphere
Superconformal Algebras and Lie Superalgebras of the Hodge Theory
Discretization of Toroidal Soliton Equations
Deformations of Modules of Differential Forms
The Extension of Integrable Mappings to Non-Commuting Variables
Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions
The Hasse-Weil Bound and Integrability Detection in Rational Maps
On Negatons of the Toda Lattice
Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus' and Carnot's Theorems
Discrete KP Equation and Momentum Mapping of Toda System
A Unified Description of the Asymmetric q-PV and d-PIV Equations and their Schlesinger Transformations
Lax Matrices for Yang-Baxter Maps
Towards a Theory of Differential Constraints of a Hydrodynamic Hierarchy
Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials
An Integrable Coupled Toda Equation And Its Related Equation Via Hirota's Bilinear Approach
Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems
On the Inverse Scattering Approach to the Camassa-Holm Equation
Stationary Structures in Two-Dimensional Continuous Heisenberg Ferromagnetic Spin System
On a q-Difference Painlevé III Equation: II. Rational Solutions
Stability Analysis of Some Integrable Euler Equations for SO(n)
q-Analogs of Classical 6-Periodicity: From Euler to Chebyshev
Generalisations of the LaplaceRungeLenz Vector
Hk Metrics on the Diffeomorphism Group of the Circle
Multiple Hamiltonian Structures and Lax Pairs for BogoyavlenskyVolterra Systems
Dirac Reduction Revisited
On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations
A Method for q-Calculus
Soliton Solutions of the N = 2 Supersymmetric KP Equation
A Variational Principle for Volume-Preserving Dynamics
Toda Equations and -Functions of Genera One and Two