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

Authors

1 Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

2 Department of mathematical and physical engineering, University of Benha, Faculty of engineering Shubra, Egypt

3 Department of mathematics, Faculty of science, Zagazig University, Zagazig, Egypt

http://dx.doi.org/10.1016/j.joems.2016.04.006

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 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
Journal of the Egyptian Mathematical Society
Volume 25, Issue 1
2017
Pages 8-12

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