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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2001, том 6, выпуск 3, страницы 327–336 (Mi rcd848)

Эта публикация цитируется в 4 статьях

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

Аннотация: 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

Поступила в редакцию: 05.06.2001

Язык публикации: английский

DOI: 10.1070/RD2001v006n03ABEH000180



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