Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues
А. Б. ХасановUrgench State University, ul. Kh. Alimdzhana 14, Urgench, 220100, UzbekistanG. U. UrazboevUrgench State University, ul. Kh. Alimdzhana 14, Urgench, 220100, Uzbekistan
ABI
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.