Integration of the Loaded General Korteweg-de Vries Equation in the Class of Rapidly Decreasing Complex-Valued Functions

Umid Hoitmetov

doi:10.32523/2077-9879-2022-13-2-43-54

Integration of the Loaded General Korteweg-de Vries Equation in the Class of Rapidly Decreasing Complex-Valued Functions

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Authors

Umid Hoitmetov

DOI:

https://doi.org/10.32523/2077-9879-2022-13-2-43-54

Keywords:

loaded general Korteweg-de Vries equation, Sturm-Liouville operator, Jost solutions

Abstract

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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Published

2022-06-30

How to Cite

Hoitmetov, U. (2022). Integration of the Loaded General Korteweg-de Vries Equation in the Class of Rapidly Decreasing Complex-Valued Functions. Eurasian Mathematical Journal, 13(2), 43–54. https://doi.org/10.32523/2077-9879-2022-13-2-43-54