INTEGRATION OF THE TODA-TYPE CHAIN WITH SELFCONSISTENT SOURCE VIA INVERSE SCATTERING METHOD

Author: B.A Babajanov

Abstract:

In this paper, it is shown that the solutions of the Toda-type chain with self-consistent source can be found by the inverse scattering method for the discrete Sturm-Liuville operator. 

MULTI-SOLITON SOLUTIONS OF THE MATRIX KORTEWEG-DE VRIES EQUATION WITH SELF-CONSISTENT SOURCE

Author: Urazbаev G.U., Hoitmetov U.A.

Abstract:

 In this paper we propose a method for finding multi-soliton solutions of the matrix Korteweg-de Vries equation with a self-consistent source.