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math-phJan 9, 2003
19
citations (OpenAlex)
authors
  • Anatoly G. Nikitin
  • Roman O. Popovych
arXiv abstractPDF
paper

Group classification of nonlinear Schrödinger equations

arXiv:math-ph/0301009

Abstract

The authors suggest a new powerful tool for solving group classification problems, that is applied to obtaining the complete group classification in the class of nonlinear Schrödinger equations of the form iψt​+Δψ+F(ψ,ψ∗)=0.

11 pages, LaTeX2e

References in corpus (1)

  • Group classification of heat conductivity equations with a nonlinear source

Cited by in corpus (9)

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  • Equivalence groupoid of a class of general Burgers-Korteweg-de Vries equations with space-dependent coefficients
  • Dynamical space-time symmetry for ageing far from equilibrium
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