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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1989, Volume 34, Pages 85–147
(Mi intd113)
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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.
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
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https://www.mathnet.ru/eng/intd113 https://www.mathnet.ru/eng/intd/v34/p85
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