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

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2006
• Main Authors: Khasanov, A.B., Urazboev, G.U.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106620
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.