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Matematicheskie Trudy, 2008, Volume 11, Number 1, Pages 153–166 (Mi mt121)  
This article is cited in 11 scientific papers (total in 11 papers)

On the sine-Gordon equation with a self-consistent source

A. B. Khasanova, G. U. Urazboev

a Faculty of Physics and Mathematics, Urgench State University
Full-text PDF (177 kB) Citations (11)
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Abstract: We use the method of the inverse scattering problem to solve the sine-Gordon equation with a self-consistent source which corresponds to moving eigenvalues of the corresponding spectral problem.
Key words: method of the inverse scattering problem, nonlinear evolutionary equation, the sine-Gordon equation, scattering data.
Received: 22.02.2007
English version:
Siberian Advances in Mathematics, 2009, Volume 19, Issue 1, Pages 13–23
DOI: https://doi.org/10.3103/S1055134409010027
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: A. B. Khasanov, G. U. Urazboev, “On the sine-Gordon equation with a self-consistent source”, Mat. Tr., 11:1 (2008), 153–166; Siberian Adv. Math., 19:1 (2009), 13–23
Citation in format AMSBIB
\Bibitem{KhaUra08}
\by A.~B.~Khasanov, G.~U.~Urazboev
\paper On the~sine-Gordon equation with a~self-consistent source
\jour Mat. Tr.
\yr 2008
\vol 11
\issue 1
\pages 153--166
\mathnet{http://mi.mathnet.ru/mt121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2437486}
\transl
\jour Siberian Adv. Math.
\yr 2009
\vol 19
\issue 1
\pages 13--23
\crossref{https://doi.org/10.3103/S1055134409010027}
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  • https://www.mathnet.ru/eng/mt/v11/i1/p153
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Full-text PDF :147
    References:50
    First page:8
     
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