On the new sine-Gordon solitons of the generalized Korteweg-de Vries and modified Korteweg-de Vries models via beta operator

On the new sine-Gordon solitons of the generalized Korteweg-de Vries and modified Korteweg-de Vries models via beta operator

In this paper, we applied the sine-Gordon expansion method (SGEM) and the rational sine-Gordon expansion method (RSGEM) for obtaining some new analytical solutions of the (2+1)-dimensional generalized Korteweg-de Vries (gKdV) and modified Korteweg-de Vries (mKdV) equations with a beta operator. The...

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Bibliographic Details
Main Authors: Yaya Wang, Md Nurul Raihen, Esin Ilhan, Haci Mehmet Baskonus
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
gkdv equation
mkdv equation
beta operator
analytical method
analytic solutions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025252
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