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Ufa Mathematical Journal, 2016, Volume 8, Issue 3, Pages 49–57
DOI: https://doi.org/10.13108/2016-8-3-49 (Mi ufa335) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Construction of exact solution to sine-Gordon equation on the base of its characteristic Lie ring

A. V. Zhibera, S. N. Kamaevab

a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
b Ufa State Aviation Technical University
English version PDF (286 kB) Citations (1)
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DOI: https://doi.org/10.13108/2016-8-3-49
Abstract: 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: solitons, vector fields, Lie ring.
Funding agency Grant number
Russian Science Foundation 15-11-2007
Received: 06.07.2016
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 3, Pages 49–58
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 34A05, 35B06
Language: English
Original paper language: Russian
Citation: A. V. Zhiber, S. N. Kamaeva, “Construction of exact solution to sine-Gordon equation on the base of its characteristic Lie ring”, Ufimsk. Mat. Zh., 8:3 (2016), 49–58; Ufa Math. J., 8:3 (2016), 49–57
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Russian version PDF:133
    English version PDF:10
    References:38
     
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