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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2006, Volume 2, Number 3, Pages 287–298 (Mi jmag36)  
This article is cited in 2 scientific papers (total in 2 papers)

On the Sine–Gordon equation with a self-consistent source of the integral type

A. B. Khasanov, G. U. Urazboev

Urgench State University, 14 H. Olimjan Str., Urgench, 740000, Uzbekistan
Full-text PDF (315 kB) Citations (2)
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Abstract: It is shown that the solutions of the Sine–Gordon equation with a source of the integral type can be found by the method of the inverse scattering problem for the Dirac type operator on the real line.
Key words and phrases: Sine–Gordon equation, inverse scattering method, Jost solutions, scattering data.
Received: 27.05.2004
Bibliographic databases:
Document Type: Article
MSC: 37K40, 37K15, 35Q53, 35Q55
Language: English
Citation: A. B. Khasanov, G. U. Urazboev, “On the Sine–Gordon equation with a self-consistent source of the integral type”, Zh. Mat. Fiz. Anal. Geom., 2:3 (2006), 287–298
Citation in format AMSBIB
\Bibitem{KhaUra06}
\by A.~B.~Khasanov, G.~U.~Urazboev
\paper On the Sine--Gordon equation with a self-consistent source of the integral type
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2006
\vol 2
\issue 3
\pages 287--298
\mathnet{http://mi.mathnet.ru/jmag36}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2249084}
\zmath{https://zbmath.org/?q=an:1132.35456}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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