Articles published in 1997

Gauge Transformations for a Family of Nonlinear Schrödinger Equations
Proper-Time Relativistic Dynamics and the Fushchych-Shtelen Transformation
Symmetries of Separating Nonlinear Schrödinger Equations
On the Self-Similar Solutions of Generalized Hydrodynamics Equations and Nonlinear Wave Patterns
On New Galilei- and Poincare-Invariant Nonlinear Equations for Electromagnetic Field
On Integration of the Nonlinear d'Alembert-Eikonal System and Conditional Symmetry of Nonlinear Wave Equations
Functional Algebras and Dimensional Reduction in the LPDEs Integration Problem
Variational Symmetry in Non-integrable Hamiltonian Systems
The Symmetry Reduction of Nonlinear Equations of the Type □u + F(u, u1)u0 = 0 to Ordinary Differential Equations
Symmetries of Vector Exterior Differential Systems and the Inverse Problem in Second-Order Ostrograds'kii Mechanics
Conditional Symmetry and Exact Solutions of a Nonlinear Galilei-Invariant Spinor Equation
Symmetry Reduction of Poincaré-Invariant Nonlinear Wave Equations
New Spherically Symmetric Solutions of Nonlinear Schrödinger Equations
Conditional Invariance and Exact Solutions of a Nonlinear System
Contact Transformations in Classical Mechanics
Continuity Equation in Nonlinear Quantum Mechanics and the Galilei Relativity Principle
Reduction and Exact Solutions of the Monge-Ampere Equation
Symmetry Properties and Exact Solutions of the Fokker-Planck Equation
Conditional Symmetry of Equations of Nonstationary Filtration and of the Nonlinear Heat Equation
The Algebra A ~P (1, 3) Invariants and Their Application to the Theory of Born-Infeld Field
Reduction and Some Exact Solutions of the Multidimensional Liouville Equation
On Classes of Lie Solutions of MHD Equations, Expressed via the General Solution of the Heat Equation
On the Symmetry of Some Nonlinear Generalization of a Vector Subsystem of the Maxwell Equations
A Model of Control of an Equation for Two-Electron Interaction
On Relativistic Mass Spectra of a Two-Particle System
Point Symmetries of Controlled Systems and Their Applications
Mathematical Simulation of Heat Transfer in Relaxing Media
On Finite-Gap Elliptic Solutions of the KdV Equation
Nonlinear Quantum Dynamical Equation for Self-Acting Electron
States of a Charged Particle with a Tensor-Like Mass in External Constant Magnetic Field
On the Braided FRT-Construction
On Quantum Systems of Particles with Singular Magnetic Interaction
Two-Point Boundary Optimization Problem for Bilinear Control Systems
One-Dimensional Discontinuous Flows in Relativistic Magnetohydrodynamics
Radiative Friction in the Lorentz-Dirac Equation and its Decomposition in the Interaction Constant
Completely Integrable Generalized C. Neumann Systems on Several Symplectic Submanifolds
Sound Attenuation in a Circular Duct of a Viscous Medium in the Absence of Mean Flow
The Scenario of Appearance of Periodic and Chaotic Modes in a Model with Control over Biosynthetic Processes
Invariance Analysis of the (2+1) Dimensional Long Dispersive Wave Equation
A Nonrelativistic Chiral Soliton in One Dimension
Pseudo-Stabilization of Prolonged Group Actions I. The Order Zero Case
On the Equivalence of Matrix Differential Operators to Schrödinger Form
An Analogue of Holstein-Primakoff and Dyson Realizations for Lie Superalgebras. The Lie Superalgebra sl(1/n)
Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations
Transformation Properties of x'' + f_1(t)x' + f2(t)x + f3(t)x^n = 0
A Class of Representations of the *-Algebra of the Canonical Commutation Relations over a Hilbert Space and Instability of Embedded Eigenvalues in Quantum Field Models
Periodic Soliton Solutions as Imbricate Series of Rational Solitons: Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion
An Analytic Approach to Torus Bifurcation in a Quasiperiodically Forced Duffing Oscillator
The Cohomology of the Variational Bicomplex Invariant under the Symmetry Algebra of the Potential Kadomtsev-Petviashvili Equation
On Shtelen's Solution of the Free Linear Schrödinger Equation
Lie Superalgebra Valued Self-Dual Yang-Mills Fields and Symmetry Reduction
Conformally Invariant Ansätze for the Maxwell Field
On Radial Schrödinger Equations in Curved Spaces and Their Spectra Through Nonlinear Constraints
On Classification of Subalgebras of the Poincaré Algebra
Proper-Time Formulation of Classical Electrodynamics
On New Representations of Galilei Groups
Non-Lie and Discrete Symmetries of the Dirac Equation
On Subalgebras of the Conformal Algebra AC(2,2)
The Finite-Dimensional Moser Type Reduction of Modified Boussinesq and Super-Korteweg-de Vries Hamiltonian Systems via the Gradient-Holonomic Algorithm and Dual Moment Maps. Part I
Symmetry of Equations with Convection Terms
Lorentz Transformations for the Schrödinger Equation
Invariant Solutions of a Nonlinear System of Differential Equations for Electromagnetic Field
A Dynamical Mapping Method in Nonrelativistic Models of Quantum Field Theory
Exact Solutions of a Quark Plasma Equilibrium in the Abelian Dominance Approximation
Representations of the Q-deformed Euclidean Algebra Uq(iso3) and Spectra of their Operators