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Dr. Emad Hassan Mohamed Ebrahim Zahran :: Publications:

Title:
New solitary wave solution of the generalized Hirota-Satsuma couple KdV system
Authors: Mostafa M A Khater - Emad H.M. Zahran
Year: 2015
Keywords: Not Available
Journal: International Journal of Scientific & Engineering Research
Volume: 6
Issue: 8
Pages: 1-9
Publisher: International Journal of Scientific and Engineering Research · August 2015
Local/International: International
Paper Link:
Full paper Emad Hassan Mohamed Ebrahim Zahran_researchpaper-New-solitary-wave-solution-of-the-generalized-Hirota-Satsuma-couple-KdV-system.pdf
Supplementary materials Not Available
Abstract:

In this research, we find the exact traveling wave solutions involving parameters of the generalized Hirota-Satsuma couple KdV system according to the modified extended tanh-function 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 extended tanh-function 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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