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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2021 Volume 24, Number 4, Pages 139–147 (Mi sjim1157)

This article is cited 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.

UDC: 514.75:517.9:517.2

Received: 06.06.2021
Revised: 12.06.2021
Accepted: 21.10.2021

DOI: 10.33048/SIBJIM.2021.24.410



© Steklov Math. Inst. of RAS, 2024