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Ukrainian Mathematical Journal

, Volume 45, Issue 4, pp 581–597 | Cite as

Symmetry and non-lie reduction of the nonlinear Schrödinger equation

  • V. I. Fushchich
  • V. I. Chopik
Article

Abstract

The nonlinear Schrödinger-type equations invariant with respect to the extended Galilean group are described. We study the conditional symmetry of such equations, realize the reduction procedure, and construct the classes of exact solutions.

Keywords

Exact Solution Reduction Procedure Galilean Group Conditional Symmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • V. I. Fushchich
    • 1
  • V. I. Chopik
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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