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This article is cited in 6 scientific papers (total in 6 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
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
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
Linking options:
https://www.mathnet.ru/eng/sjim1157 https://www.mathnet.ru/eng/sjim/v24/i4/p139
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Abstract page: | 615 | Full-text PDF : | 72 | References: | 48 | First page: | 27 |
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