Perturbation methods in group analysis
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 34 (1989), pp. 85-147.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@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},
     publisher = {mathdoc},
     volume = {34},
     year = {1989},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTD_1989_34_a1/
%G ru
%F INTD_1989_34_a1
V. A. Baikov; R. K. Gazizov; N. Kh. Ibragimov. Perturbation methods in group analysis. 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/