Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1989, Volume 34, Pages 85–147 (Mi intd113)  

This article is cited in 75 scientific papers (total in 75 papers)

Perturbation methods in group analysis

V. A. Baikov, R. K. Gazizov, N. Kh. Ibragimov
Abstract: In this paper we describe the theory of approximate groups of transformations which lets us constructively find approximate symmetries of equations with a small parameter. For evolution equations we introduce the concept of formal symmetries and Bдcklund transformations. The theory is applied to a large class of wave and evolution equations.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 1, Pages 1450–1490
DOI: https://doi.org/10.1007/BF01097534
Bibliographic databases:
UDC: 517.958+517.957
Language: Russian
Citation: V. A. Baikov, R. K. Gazizov, N. Kh. Ibragimov, “Perturbation methods in group analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34, VINITI, Moscow, 1989, 85–147; J. Soviet Math., 55:1 (1991), 1450–1490
Citation in format AMSBIB
\Bibitem{BaiGazIbr89}
\by V.~A.~Baikov, R.~K.~Gazizov, N.~Kh.~Ibragimov
\paper Perturbation methods in group analysis
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1989
\vol 34
\pages 85--147
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd113}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1012325}
\zmath{https://zbmath.org/?q=an:0759.35003|0722.35005}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 1
\pages 1450--1490
\crossref{https://doi.org/10.1007/BF01097534}
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  • This publication is cited in the following 75 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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