INTEGRATION OF THE LOADED GENERAL KORTEWEG-DE VRIES EQUATION IN TNE CLASS OF RAPIDLY DECREASING COMPLEX-VALUED FUNCTIONS

In this paper, the evolution of the scattering data of the Sturm-Liouville operator is derived by the method of the inverse scattering problem, the potential of which is a solution to the loaded general Korteweg-de Vries equation in the class of rapidly decreasing complex-valued functions.

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