Solitary wave solution of the generalized Hirota-Satsuma coupled KdV system

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• 作者：Mostafa M.A. Khater ; ^a ; ^{mostafa.khater2024@yahoo.com} ; ^{Darsh_2024@yahoo.com} ; Emad H.M. Zahran^b ; Maha S.M. Shehata^c
• 关键词：The generalized Hirota&ndash ; Satsuma coupled KdV system ; The modified simple equation method ; Traveling wave solutions ; Solitary wave solutions ; Kink and anti kink soliton solutions
• 刊名：Journal of the Egyptian Mathematical Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：8-12
• 全文大小：935 K
• 卷排序：25

文摘

In this research, we find the exact traveling wave solutions involving parameters of the generalized Hirota–Satsuma couple KdV system according to the modified simple equation method with the aid of Maple 16. When these parameters are taken special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the modified simple equation method provides an effective and a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. Comparison between our results and the well-known results will be presented.