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Home » Issues » Archive of Issues » 2023 - 3 issue » pp. 523-533

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Uzbekistan Urgench
Year
2023
Volume
33
Issue
3
Pages
523-533
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Section Mathematics
Title Integration of the negative order Korteweg-de Vries equation by the inverse scattering method
Author(-s) Urazboev G.U.ab, Baltaeva I.I.b, Ismoilov O.B.a
Affiliations Institute of Mathematics, Khorezm Branch, Uzbekistan Academy of Sciencesa, Urgench State Universityb
Abstract In this paper, we consider the integration of the negative order Korteweg-de Vries equation by the inverse scattering method. The evolution of the spectral data of the Sturm-Liouville operator with a potential associated with the solution of the negative order Korteweg-de Vries equation is determined. The obtained results make it possible to apply the method of inverse scattering problem to solve the negative order Korteweg-de Vries equation in the class of rapidly decreasing functions.
Keywords Sturm-Liouville operator, negative order Korteweg-de Vries equation, scattering data, inverse scattering problem
UDC 517.958
MSC 34L25, 35C08, 35P25, 35Q51, 35Q53
DOI 10.35634/vm230309
Received 19 May 2023
Language Russian
Citation Urazboev G.U., Baltaeva I.I., Ismoilov O.B. Integration of the negative order Korteweg-de Vries equation by the inverse scattering method, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, vol. 33, issue 3, pp. 523-533.
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