Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source
G. U. UrazboevAl-Khorezmi Urgench State University, Urgench, UzbekistanU. A. XoitmetovAl-Khorezmi Urgench State University, Urgench, UzbekistanA. K. BabadjanovaAl-Khorezmi Urgench State University, Urgench, Uzbekistan
ABI
Abstract
We derive time evolution equations for the scattering data for the matrix Zakharov-Shabat system with a potential that is the solution of the matrix modified Korteweg-de Vries equation with an integral-type source.