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Contemporary Mathematics and Its Applications, 2015, Volume 98, Pages 143–148 (Mi cma400)  
This article is cited in 1 scientific paper (total in 1 paper)

On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation

A. V. Ovchinnikov

Lomonosov Moscow State University
Full-text PDF (141 kB) Citations (1)
Abstract: We construct an expansion of a solution to the Goursat problem for the sine-Gordon equation with respect to a small parameter that is involved in the data on characteristics. We prove that the expansion obtained is an asymptotic series.
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 2, Pages 297–303
DOI: https://doi.org/10.1007/s10958-017-3241-7
Document Type: Article
Language: Russian
Citation: A. V. Ovchinnikov, “On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation”, Contemporary Mathematics and Its Applications, 98 (2015), 143–148; Journal of Mathematical Sciences, 221:2 (2017), 297–303
Citation in format AMSBIB
\Bibitem{Ovc15}
\by A.~V.~Ovchinnikov
\paper On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation
\jour Contemporary Mathematics and Its Applications
\yr 2015
\vol 98
\pages 143--148
\mathnet{http://mi.mathnet.ru/cma400}
\transl
\jour Journal of Mathematical Sciences
\yr 2017
\vol 221
\issue 2
\pages 297--303
\crossref{https://doi.org/10.1007/s10958-017-3241-7}
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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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    		Contemporary Mathematics and Its Applications Contemporary Mathematics and Its Applications
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