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Bulletin of Irkutsk State University. Series Mathematics, 2021, Volume 36, Pages 84–94
DOI: https://doi.org/10.26516/1997-7670.2021.36.84 (Mi iigum454) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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
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DOI: https://doi.org/10.26516/1997-7670.2021.36.84
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.
Received: 30.01.2021
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35Q51
Language: English
Citation: A. A. Reyimberganov, I. D. Rakhimov, “The soliton solutions for the nonlinear Schrödinger equation with self-consistent source”, Bulletin of Irkutsk State University. Series Mathematics, 36 (2021), 84–94
Citation in format AMSBIB
\Bibitem{ReyRak21}
\by A.~A.~Reyimberganov, I.~D.~Rakhimov
\paper The soliton solutions for the nonlinear Schr\"{o}dinger equation with self-consistent source
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2021
\vol 36
\pages 84--94
\mathnet{http://mi.mathnet.ru/iigum454}
\crossref{https://doi.org/10.26516/1997-7670.2021.36.84}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000662709100007}
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  • https://www.mathnet.ru/eng/iigum/v36/p84
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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