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Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues
Authors:A. B. Khasanov  G. U. Urazboev
Affiliation:(1) Urgench State University, ul. Kh. Alimdzhana 14, Urgench, 220100, 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:  KeywordHeading"  > and phrases sine-Gordon equation  self-consistent source  Dirac-type operator  multiple eigenvalues  scattering data  inverse scattering method
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