• Publications
  • Influence
Symmetries of Equations of Quantum Mechanics
Table of
  • 216
  • 14
  • PDF
Solitary wave and other solutions for nonlinear heat equations
A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary waveExpand
  • 36
  • 3
  • PDF
Group Classification of Nonlinear Schrödinger Equations
We propose an approach to problems of group classification. By using this approach, we perform a complete group classification of nonlinear Schrödinger equations of the form iψt + Δψ + F(ψ, ψ*) = 0.
  • 59
  • 1
  • PDF
Group classification of systems of non-linear reaction–diffusion equations with general diffusion matrix. I. Generalized Ginzburg–Landau equations
Abstract A group classification of the generalized complex Ginzburg–Landau equations is presented. An approach to group classification of systems of reaction–diffusion equations with generalExpand
  • 31
  • 1
  • PDF
Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses
Kinematical invariance groups of the 3d Schrodinger equations with position dependent masses and arbitrary potentials are classified. All non-equivalent classes of such equations are presentedExpand
  • 14
  • 1
On the new invariance algebras and superalgebras of relativistic wave equations
The authors show that any relativistic wave equations for a particle with mass m>0 and arbitrary spin s is invariant under the Lie algebra of the group GL(2s+1, C). The explicit form of basisExpand
  • 19
  • 1
  • PDF
Extended Poincaré parasuperalgebra with central charges and invariant wave equations
We describe irreducible representations of the extended Poincare parasuperalgebra (PPSA) which includes an arbitrary number N of parasupercharges, n (n≤{N/2}) central charges and an internal symmetryExpand
  • 2
  • 1
  • PDF
Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group
We discuss finite-dimensional representations of the homogeneous Galilei group which, when restricted to its subgroup SO(3), are decomposed to spin 0, 1/2 and 1 representations. In particular weExpand
  • 9
  • 1
  • PDF
Systems of reaction diffusion equations and their symmetry properties
A constructive algorithm is proposed for the investigation of symmetries of partial differential equations. The algorithm is used to present classical Lie symmetries of systems of two nonlinearExpand
  • 32
  • 1
  • PDF