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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2001 Volume 6, Issue 3, Pages 327–336 (Mi rcd848)

This article is cited in 4 papers

Regular Method for Searching of Differential Equations Discrete Symmetries

A. V. Kistovich, Yu. D. Chashechkin

Institute for Problems in Mechanics, Vernadskogo Pr., 101/1, 117526, Moscow, Russia

Abstract: A new constructive regular method to search discrete symmetries of a set of differential equations is proposed. The method is based on automorphism properties of a basic 1-forms for initial and transformed equations. In difference with well-known methods of discrete symmetry searching the proposed method does not need in a priori knowledge and as sequence in a preliminary searching of infinitesimal symmetries for studied equations.

MSC: 58F17

Received: 05.06.2001

Language: English

DOI: 10.1070/RD2001v006n03ABEH000180



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