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TMF, 2020, Volume 202, Number 2, Pages 157–169 (Mi tmf9712)  

Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions

A. B. Yakhshimuratov

Urgench branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Urgench, Uzbekistan

Abstract: We use the inverse spectral method to integrate a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions.

Keywords: Dirac operator, spectral data, nonlinear Schrödinger equation, Dubrovin–Trubowitz system of equations, self-consistent source.

Funding Agency Grant Number
German Academic Exchange Service (DAAD)
This research was supported at the Friedrich-Schiller University of Jena (Germany) by the German Academic Exchange Service (DAAD).


DOI: https://doi.org/10.4213/tmf9712

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English version:
Theoretical and Mathematical Physics, 2020, 202:2, 137–149

Bibliographic databases:

Received: 25.02.2019
Revised: 04.10.2019

Citation: A. B. Yakhshimuratov, “Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions”, TMF, 202:2 (2020), 157–169; Theoret. and Math. Phys., 202:2 (2020), 137–149

Citation in format AMSBIB
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\by A.~B.~Yakhshimuratov
\paper Integration of a~higher-order nonlinear Schr\"odinger system with a~self-consistent source in the~class of periodic functions
\jour TMF
\yr 2020
\vol 202
\issue 2
\pages 157--169
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\crossref{https://doi.org/10.4213/tmf9712}
\transl
\jour Theoret. and Math. Phys.
\yr 2020
\vol 202
\issue 2
\pages 137--149
\crossref{https://doi.org/10.1134/S0040577920020014}
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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