Solitary wave solution of the generalized Hirota–Satsuma coupled KdV system | Zendy

Mostafa M. A. Khater | Zendy; Emad H. M. Zahran | Zendy; Maha S. M. Shehata | Zendy

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

Author(s) -

Mostafa M. A. Khater,

Emad H. M. Zahran,

Maha S. M. Shehata

Publication year - 2016

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2016.04.006

Subject(s) - korteweg–de vries equation , traveling wave , maple , mathematics , simple (philosophy) , nonlinear system , exact solutions in general relativity , mathematical analysis , physics , quantum mechanics , philosophy , botany , epistemology , biology

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

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