Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 34 (1989), pp. 3-83
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I. Sh. Akhatov; R. K. Gazizov; N. Kh. Ibragimov. Nonlocal symmetries. Heuristic approach. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 34 (1989), pp. 3-83. http://geodesic.mathdoc.fr/item/INTD_1989_34_a0/
@article{INTD_1989_34_a0,
author = {I. Sh. Akhatov and R. K. Gazizov and N. Kh. Ibragimov},
title = {Nonlocal symmetries. {Heuristic} approach},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--83},
year = {1989},
volume = {34},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1989_34_a0/}
}
TY - JOUR
AU - I. Sh. Akhatov
AU - R. K. Gazizov
AU - N. Kh. Ibragimov
TI - Nonlocal symmetries. Heuristic approach
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1989
SP - 3
EP - 83
VL - 34
UR - http://geodesic.mathdoc.fr/item/INTD_1989_34_a0/
LA - ru
ID - INTD_1989_34_a0
ER -
%0 Journal Article
%A I. Sh. Akhatov
%A R. K. Gazizov
%A N. Kh. Ibragimov
%T Nonlocal symmetries. Heuristic approach
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1989
%P 3-83
%V 34
%U http://geodesic.mathdoc.fr/item/INTD_1989_34_a0/
%G ru
%F INTD_1989_34_a0
A constructive method for constructing nonlocal symmetries of differential equations based on the Lie–Bäcklund theory of groups is developed. The concept of quasilocal symmetries is introduced. With the help of this method nonlocal symmetries of differential equations of the type of nonlinear thermal conductivity and gas dynamics are studied.
