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Izv. Vyssh. Uchebn. Zaved. Mat., 2009, Number 3, Pages 55–66 (Mi ivm1267)  

This article is cited in 2 scientific papers (total in 2 papers)

Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues

A. B. Khasanov, G. U. Urazboev

Al-Kharezmi Urgench State University, Khorezm, Uzbekistan

Abstract: The paper is dedicated to the evolution of the scattering data for a Dirac-type nonself-adjoint operator with multiple eigenvalues whose potential is a solution of the sine-Gordon equation with a self-consistent source of the integral type.

Keywords: sine-Gordon equation, self-consistent source, Dirac-type operator, multiple eigenvalues, scattering data, inverse scattering method.

Full text: PDF file (217 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:3, 45–55

Bibliographic databases:

UDC: 517.946
Received: 19.01.2007

Citation: A. B. Khasanov, G. U. Urazboev, “Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 3, 55–66; Russian Math. (Iz. VUZ), 53:3 (2009), 45–55

Citation in format AMSBIB
\Bibitem{KhaUra09}
\by A.~B.~Khasanov, G.~U.~Urazboev
\paper Integration of the sine-Gordon equation with a~self-consistent source of the integral type in the case of multiple eigenvalues
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 3
\pages 55--66
\mathnet{http://mi.mathnet.ru/ivm1267}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2581453}
\zmath{https://zbmath.org/?q=an:1176.35118}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 3
\pages 45--55
\crossref{https://doi.org/10.3103/S1066369X09030037}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. B. Hasanov, M. M. Hasanov, “Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions”, Theoret. and Math. Phys., 199:1 (2019), 525–532  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. A. B. Khasanov, M. M. Matjakubov, “Integration of the nonlinear Korteweg–de Vries equation with an additional term”, Theoret. and Math. Phys., 203:2 (2020), 596–607  mathnet  crossref  crossref  mathscinet  isi  elib
  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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