Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 34 (1989), pp. 85-147
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V. A. Baikov; R. K. Gazizov; N. Kh. Ibragimov. Perturbation methods in group analysis. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 34 (1989), pp. 85-147. http://geodesic.mathdoc.fr/item/INTD_1989_34_a1/
@article{INTD_1989_34_a1,
author = {V. A. Baikov and R. K. Gazizov and N. Kh. Ibragimov},
title = {Perturbation methods in group analysis},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {85--147},
year = {1989},
volume = {34},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1989_34_a1/}
}
TY - JOUR
AU - V. A. Baikov
AU - R. K. Gazizov
AU - N. Kh. Ibragimov
TI - Perturbation methods in group analysis
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1989
SP - 85
EP - 147
VL - 34
UR - http://geodesic.mathdoc.fr/item/INTD_1989_34_a1/
LA - ru
ID - INTD_1989_34_a1
ER -
%0 Journal Article
%A V. A. Baikov
%A R. K. Gazizov
%A N. Kh. Ibragimov
%T Perturbation methods in group analysis
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1989
%P 85-147
%V 34
%U http://geodesic.mathdoc.fr/item/INTD_1989_34_a1/
%G ru
%F INTD_1989_34_a1
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 BРґcklund transformations. The theory is applied to a large class of wave and evolution equations.
