Статья

Integration of the General Loaded Korteweg–de Vries Equation with an Integral Type Source in the Class of Rapidly Decreasing Complex-Valued Functions

А. Б. ХасановSamarkand State University, 15 University blvd., 140104, Samarkand, Republic of UzbekistanU. A. HoitmetovKhorezm Branch of the Romanovsky Institue of Mathematics, Urgench State University, 220100, 14 Kh. Alimdjan, Urgench, Republic of Uzbekistan

Russian Mathematicsjournal2021en

ABI

Аннотация

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

Темы

Nonlinear Waves and Solitons Advanced Mathematical Physics Problems Numerical methods for differential equations

Идентификаторы

DOI: 10.3103/s1066369x21070069

Цитирования и источники

Цитирований: 18 Использованных источников: 19

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