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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 4, Pages 139–147
DOI: https://doi.org/10.33048/SIBJIM.2021.24.410 (Mi sjim1157) 		 
This article is cited in 13 scientific papers (total in 13 papers)

A generalized $(G'/G)$-expansion method for the loaded Korteweg—de Vries equation

G. U. Urazboev, I. I. Baltaeva, I. D. Rakhimov

Urgench State University, ul. H. Alimdjana 14, Urgench 220100, Uzbekistan
Full-text PDF (797 kB) Citations (13) English version article
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.410
Abstract: The article is devoted to find the solutions of the loaded Korteweg—de Vries equation. It is shown that to find the solutions using the $(G'/G)$-expansion method is one of the most effective methods for finding solutions to integrable nonlinear evolution equations due to the convenience of using known software packages in comparison with other known methods such as the method Hirota, Darboux transforms, the inverse scattering method, etc.
Keywords: loaded Korteweg—de Vries equations, nonlinear evolution equations, expansion method, direct methods, traveling wave.
Funding agency
We express our deep gratitude to the referee for some very constructive comments and suggestions.
Received: 06.06.2021
Revised: 12.06.2021
Accepted: 21.10.2021
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 4, Pages 679–685
DOI: https://doi.org/10.1134/S1990478921040116
Document Type: Article
UDC: 514.75:517.9:517.2
Language: Russian
Citation: G. U. Urazboev, I. I. Baltaeva, I. D. Rakhimov, “A generalized $(G'/G)$-expansion method for the loaded Korteweg—de Vries equation”, Sib. Zh. Ind. Mat., 24:4 (2021), 139–147; J. Appl. Industr. Math., 15:4 (2021), 679–685
Citation in format AMSBIB
\Bibitem{UraBalRak21}
\by G.~U.~Urazboev, I.~I.~Baltaeva, I.~D.~Rakhimov
\paper A generalized $(G'/G)$-expansion method for the loaded
Korteweg---de Vries equation
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 4
\pages 139--147
\mathnet{http://mi.mathnet.ru/sjim1157}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.410}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 4
\pages 679--685
\crossref{https://doi.org/10.1134/S1990478921040116}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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