This article is cited in 7 papers

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.

Received: 25.02.2019
Revised: 04.10.2019

DOI: 10.4213/tmf9712

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

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