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
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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.
@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
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/