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Bulletin of Irkutsk State University. Series Mathematics, 2023, Volume 44, Pages 31–43
DOI: https://doi.org/10.26516/1997-7670.2023.44.31
(Mi iigum523)
 

This article is cited in 6 scientific papers (total in 6 papers)

Integro-differential equations and functional analysis

Integration of the negative order Korteweg-de Vries equation with a special source

Gayrat U. Urazboev, Muzaffar M. Khasanov, Iroda I. Baltaeva

Urgench State Univeresity, Urgench, Uzbekistan
Full-text PDF (751 kB) Citations (6)
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Abstract: In this paper, we consider the negative order Korteweg-de Vries equation with a self-consistent source corresponding to the eigenvalues of the corresponding spectral problem. It is shown that the considered equation can be integrated by the method of the inverse spectral problem. The evolution of the spectral data of the Sturm-Liouville operator with a periodic potential associated with the solution of the considered equation is determined. The results obtained make it possible to apply the inverse problem method for solving the negative order Korteweg-de Vries equation with a self-consistent source corresponding to the eigenvalues of the corresponding spectral problem.
Keywords: negative order Korteweg-de Vries equation, self-consistent source, inverse spectral problem, system of Dubrovin-Trubovitz equations, trace formulas.
Received: 22.10.2022
Revised: 28.02.2023
Accepted: 06.03.2023
Document Type: Article
UDC: 517.946
Language: Russian
Citation: Gayrat U. Urazboev, Muzaffar M. Khasanov, Iroda I. Baltaeva, “Integration of the negative order Korteweg-de Vries equation with a special source”, Bulletin of Irkutsk State University. Series Mathematics, 44 (2023), 31–43
Citation in format AMSBIB
\Bibitem{UraKhaBal23}
\by Gayrat~U.~Urazboev, Muzaffar~M.~Khasanov, Iroda~I.~Baltaeva
\paper Integration of the negative order Korteweg-de Vries equation with a special source
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2023
\vol 44
\pages 31--43
\mathnet{http://mi.mathnet.ru/iigum523}
\crossref{https://doi.org/10.26516/1997-7670.2023.44.31}
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  • This publication is cited in the following 6 articles:
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