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Integration of the Loaded KdV Equation with a Self-Consistent Source of Integral Type in the Class of Rapidly Decreasing Complex-Valued Functions

U. A. HoitmetovKhorezm Branch of the Romanovskii Institute of Mathematics, Urgench State University, Urgench, 220100, Uzbekistan
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We apply the inverse scattering method to integrating the loaded Korteweg–de Vries equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions.

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