On the Sine-Gordon Equation with a Self-Consistent Source of the Integral Type

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.

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Datum:2006
Hauptverfasser: Khasanov, A.B., Urazboev, G.U.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
Schriftenreihe:Журнал математической физики, анализа, геометрии
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/106620
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On the Sine-Gordon Equation with a Self-Consistent Source of the Integral Type / A.B. Khasanov, G.U. Urazboev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 287-298. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung: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.