Geodesic
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 
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     title = {Construction of exact solution to {sine-Gordon} equation on the base of its characteristic {Lie} ring},
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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/