On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source
А. Б. ХасановSamarkand State University, Samarkand, 140104, UzbekistanU. A. HoitmetovKhwarazm Branch of Romanovskii Institute of Mathematics,
Uzbekistan Academy of Sciences, Urgench, Uzbekistan
ABI
Abstract
Using the inverse scattering method, we derive the evolution of the scattering data of a nonself-adjoint Sturm–Liouville operator whose potential is a solution of the general loaded Korteweg–de Vries equation with a self-consistent source in the class of rapidly decaying complex-valued functions. An example is given to illustrate the application of the results obtained.