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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2020 Volume 203, Number 3, Pages 351–364 (Mi tmf9850)
This article is cited 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

DOI: 10.4213/tmf9850


 English version: Theoretical and Mathematical Physics, 2020, 203:3, 734–746

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© Steklov Math. Inst. of RAS, 2024