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Matematicheskie Trudy, 2021, Volume 24, Number 2, Pages 181–198
DOI: https://doi.org/10.33048/mattrudy.2021.24.211 (Mi mt657) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integrating the loaded KdV equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions

U. A. Hoitmetovab

a Khorezm Regional Branch of the V.I. Romanovsky Institute of Mathematics, Uzbekistan Academy of Sciences
b Urgench State University named after Al-Khorezmi
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DOI: https://doi.org/10.33048/mattrudy.2021.24.211
Abstract: In the article 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.
Key words: loaded Korteweg-de Vries equation, Sturm–Liouville operator, Jost solutions, scattering data, inverse problem of scattering theory, Gelfand–Levitan–Marchenko integral equation.
Received: 03.08.2020
Revised: 15.04.2021
Accepted: 30.08.2021
Document Type: Article
UDC: 517.957
Language: Russian
Citation: U. A. Hoitmetov, “Integrating the loaded KdV equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions”, Mat. Tr., 24:2 (2021), 181–198
Citation in format AMSBIB
\Bibitem{Hoi21}
\by U.~A.~Hoitmetov
\paper Integrating the loaded KdV equation with a~self-consistent source of integral type in the class of rapidly decreasing complex-valued functions
\jour Mat. Tr.
\yr 2021
\vol 24
\issue 2
\pages 181--198
\mathnet{http://mi.mathnet.ru/mt657}
\crossref{https://doi.org/10.33048/mattrudy.2021.24.211}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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