Construction of exact solution to sine-Gordon equation on the base of its characteristic Lie ring
Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 49-57
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In the work we consider the scheme of constructing exact solutions to the Sine-Gordon equation based on a restricting the characteristic Lie ring. We study in details the case when the dimension of the space formed by commutators of length $6$ is equal to $1$.
Keywords:
vector fields, Lie ring.
Mots-clés : solitons
Mots-clés : solitons
@article{UFA_2016_8_3_a5,
author = {A. V. Zhiber and S. N. Kamaeva},
title = {Construction of exact solution to {sine-Gordon} equation on the base of its characteristic {Lie} ring},
journal = {Ufa mathematical journal},
pages = {49--57},
year = {2016},
volume = {8},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a5/}
}
TY - JOUR AU - A. V. Zhiber AU - S. N. Kamaeva TI - Construction of exact solution to sine-Gordon equation on the base of its characteristic Lie ring JO - Ufa mathematical journal PY - 2016 SP - 49 EP - 57 VL - 8 IS - 3 UR - http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a5/ LA - en ID - UFA_2016_8_3_a5 ER -
A. V. Zhiber; S. N. Kamaeva. Construction of exact solution to sine-Gordon equation on the base of its characteristic Lie ring. Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 49-57. http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a5/
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