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Eurasian Mathematical Journal, 2022, Volume 13, Number 2, Pages 43–54
DOI: https://doi.org/10.32523/2077-9879-2022-13-2-43-54 (Mi emj437) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Integration of the loaded general Korteweg-de Vries equation in tne class of rapidly decreasing complex-valued functions

U. A. Hoitmetov

Khorezm Branch of the Romanovskiy Institute of Mathematics, Urgench State University, 14, Kh. Alimdjan, 220100 Urgench, Uzbekistan
Full-text PDF (413 kB) Citations (6)
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DOI: https://doi.org/10.32523/2077-9879-2022-13-2-43-54
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.
Keywords and phrases: loaded general Korteweg-de Vries equation, Sturm-Liouville operator, Jost solutions, scattering data, Gelfand-Levitan-Marchenko integral equation.
Received: 14.08.2020
Bibliographic databases:
Document Type: Article
MSC: 34L25, 35P25, 47A40, 37K15
Language: English
Citation: U. A. Hoitmetov, “Integration of the loaded general Korteweg-de Vries equation in tne class of rapidly decreasing complex-valued functions”, Eurasian Math. J., 13:2 (2022), 43–54
Citation in format AMSBIB
\Bibitem{Hoi22}
\by U.~A.~Hoitmetov
\paper Integration of the loaded general Korteweg-de Vries equation in tne class of rapidly decreasing complex-valued functions
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 2
\pages 43--54
\mathnet{http://mi.mathnet.ru/emj437}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-2-43-54}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4459174}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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