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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 7, Pages 52–66
DOI: https://doi.org/10.26907/0021-3446-2021-7-52-66 (Mi ivm9695) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Integration of the general loaded Korteweg–de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions

A. B. Khasanova, U. A. Hoitmetovb

a Samarkand State University, 15 University blvd., Samarkand, 140104 Republic of Uzbekistan
b Khorezm Branch of the Romanovsky Institute of Mathematics, Urgench State University, 14 Kh. Alimdjan, Urgench, 220100 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2021-7-52-66
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 general loaded Korteweg-de Vries equation in the class of rapidly decreasing complex-valued functions.
Keywords: Korteweg-de Vries equation, Sturm-Liouville operator, Jost solution, inverse scattering theory, Gelfand-Levitan-Marchenko integral equation.
Received: 14.08.2020
Revised: 14.08.2020
Accepted: 24.12.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 7, Pages 43–57
DOI: https://doi.org/10.3103/S1066369X21070069
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. B. Khasanov, U. A. Hoitmetov, “Integration of the general loaded Korteweg–de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 7, 52–66; Russian Math. (Iz. VUZ), 65:7 (2021), 43–57
Citation in format AMSBIB
\Bibitem{KhaHoi21}
\by A.~B.~Khasanov, U.~A.~Hoitmetov
\paper Integration of the general loaded Korteweg--de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 7
\pages 52--66
\mathnet{http://mi.mathnet.ru/ivm9695}
\crossref{https://doi.org/10.26907/0021-3446-2021-7-52-66}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 7
\pages 43--57
\crossref{https://doi.org/10.3103/S1066369X21070069}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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