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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
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
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
Linking options:
https://www.mathnet.ru/eng/emj437 https://www.mathnet.ru/eng/emj/v13/i2/p43
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Abstract page: | 90 | Full-text PDF : | 41 | References: | 11 |
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