U.A. Hoitmetov, Sh. K. Sobirov, “Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions”, Mathematical notes of NEFU, 30:2 (2023), 75

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Mathematical notes of NEFU, 2023, Volume 30, Issue 2, Pages 75–91
DOI: https://doi.org/10.25587/SVFU.2023.75.56.006 (Mi svfu385)

Mathematics

Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions

U.A. Hoitmetov, Sh. K. Sobirov

Urgench State University named after Al-Khorezmi

Full-text PDF (287 kB)

DOI: https://doi.org/10.25587/SVFU.2023.75.56.006

URL: https://mzsvfu.ru/index.php/mz/article/view/448

Abstract: We consider the Cauchy problem for a loaded modi ed Korteweg-de Vries equation with a self-consistent source. The evolution of the scattering data of the Dirac operator, whose potential is a solution of the loaded modi ed Korteweg-de Vries equation with a self-consistent source in the class of rapidly decreasing functions, is derived. A specific example is given to illustrate the application of the obtained results.

Keywords: loaded modified Korteweg–de Vries equation, self-consistent source, Jost solutions, scattering data.

Received: 08.07.2022
Accepted: 29.05.2023

Document Type: Article

UDC: 517.957

Language: Russian

Citation: U.A. Hoitmetov, Sh. K. Sobirov, “Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions”, Mathematical notes of NEFU, 30:2 (2023), 75–91

Citation in format AMSBIB

\Bibitem{HoiSob23}

\by U.A.~Hoitmetov, Sh.~K.~Sobirov

\paper Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions

\jour Mathematical notes of NEFU

\yr 2023

\vol 30

\issue 2

\pages 75--91

\mathnet{http://mi.mathnet.ru/svfu385}

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