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

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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 5 scientific papers (total in 5 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

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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.

Received: 06.06.2021
Revised: 12.06.2021
Accepted: 21.10.2021

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

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}

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https://www.mathnet.ru/eng/sjim1157

https://www.mathnet.ru/eng/sjim/v24/i4/p139

This publication is cited in the following articles:

Iroda I. Baltaeva, Ilkham D. Rakhimov, Muzaffar M. Khasanov, “Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 41 (2022), 85–95
Bazar Babajanov, Fakhriddin Abdikarimov, “The Application of the Functional Variable Method for Solving the Loaded Non-linear Evaluation Equations”, Front. Appl. Math. Stat., 8 (2022)
Bazar Babajanov, Fakhriddin Abdikarimov, “Exact Solutions of the Nonlinear Loaded Benjamin-Ono Equation”, WSEAS TRANSACTIONS ON MATHEMATICS, 21 (2022), 666
Lakhveer Kaur, Kuldeep ., “Exact Solutions of (2+1) Dimensional Cubic Klein-Gordon (cKG) Equation”, Int. j. math. eng. manag. sci., 7:5 (2022), 613
B. A. Babajanov, A. Sh. Azamatov, R. B. Atajanova, “Integration of the Kaup–Boussinesq system with time-dependent coefficients”, Theoret. and Math. Phys., 216:1 (2023), 961–972

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Сибирский журнал индустриальной математики

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