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This article is cited in 7 scientific papers (total in 7 papers)
Integration of the matrix modified Korteweg–de Vries equation with an integral-type source
G. U. Urazboev, U. A. Xoitmetov, A. K. Babadjanova Al-Khorezmi Urgench State University, Urgench, Uzbekistan
Abstract:
We derive time evolution equations for the scattering data for the matrix Zakharov–Shabat system with a potential that is the solution of the matrix modified Korteweg–de Vries equation with an integral-type source.
Keywords:
inverse scattering method, matrix Zakharov–Shabat system, eigenvalue, matrix modified Korteweg–de Vries equation, self-consistent source.
Received: 11.11.2019 Revised: 14.01.2020
Citation:
G. U. Urazboev, U. A. Xoitmetov, A. K. Babadjanova, “Integration of the matrix modified Korteweg–de Vries equation with an integral-type source”, TMF, 203:3 (2020), 351–364; Theoret. and Math. Phys., 203:3 (2020), 734–746
Linking options:
https://www.mathnet.ru/eng/tmf9850https://doi.org/10.4213/tmf9850 https://www.mathnet.ru/eng/tmf/v203/i3/p351
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Abstract page: | 351 | Full-text PDF : | 67 | References: | 35 | First page: | 13 |
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