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Bulletin of Irkutsk State University. Series Mathematics, 2021 Volume 36, Pages 84–94 (Mi iigum454)

This article is cited in 3 papers

Integro-differential equations and functional analysis

The soliton solutions for the nonlinear Schrödinger equation with self-consistent source

A. A. Reyimberganov, I. D. Rakhimov

Urgench State University, Urgench, Republic of Uzbekistan

Abstract: In this paper by using Hirota’s method, the one and two soliton solutions of nonlinear Schrödinger equation with self-consistent source are studied. We have shown the evolution of the one and two soliton solutions in detail by using graphics.

Keywords: soliton solution, Schrödinger equation, nonlinear equations, Hirota's method.

UDC: 517.95

MSC: 35Q51

Received: 30.01.2021

Language: English

DOI: 10.26516/1997-7670.2021.36.84



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© Steklov Math. Inst. of RAS, 2026