Integration of the general loaded Korteweg–de Vries equation with an integral type source in the 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 general loaded Korteweg-de Vries equation in the class of rapidly decreasing complex-valued functions.