Symmetry and non-lie reduction of the nonlinear Schrödinger equation

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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Bibliographic Details
Date:1993
Main Authors: Fushchich, V. I., Chopik, V. I., Фущич, В. І., Чопик, В. І.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5841
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal