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This article is cited in 8 scientific papers (total in 8 papers)
Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues
K. A. Mamedov Urgench branch of Tashkent University of Information Technologies named after Muhammad al-Kwarizmi, 110 al-Kwarizmi str., Urgench, 220100 Republic of Uzbekistan
Abstract:
In this paper, the possibility of using the inverse scattering problem method to integrate the mKdV equation with a self-consistent source in the class of finite density functions in the case of moving simple eigenvalues of the corresponding spectral problem is shown.
Keywords:
inverse scattering problem method, modified Korteweg-de Vries equation (mKdV), Dirac operator, Jost solution, eigenvalue, eigenfunction, scattering data, class of functions having finite density.
Received: 23.11.2019 Revised: 23.11.2019 Accepted: 25.03.2020
Citation:
K. A. Mamedov, “Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 10, 73–85; Russian Math. (Iz. VUZ), 64:10 (2020), 66–78
Linking options:
https://www.mathnet.ru/eng/ivm9620 https://www.mathnet.ru/eng/ivm/y2020/i10/p73
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Abstract page: | 165 | Full-text PDF : | 74 | References: | 25 | First page: | 2 |
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