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Symmetry and non-lie reduction of the nonlinear Schrödinger equation

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. I. Fushchich (Corresponding Member) & V. I. Chopik

Authors
  1. V. I. Fushchich
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  2. V. I. Chopik
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 4, pp. 539–551, April, 1993.

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Fushchich, V.I., Chopik, V.I. Symmetry and non-lie reduction of the nonlinear Schrödinger equation. Ukr Math J 45, 581–597 (1993). https://doi.org/10.1007/BF01062953

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  • DOI: https://doi.org/10.1007/BF01062953

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