Abstract

In this research, we find the exact traveling wave solutions involving parameters of the generalized Hirota-Satsuma couple KdV system according to the exp-expansion method and when these parameters are taken to be special values we can obtain the solitary wave solutions which is derived from the exact traveling wave solutions. It is shown that the proposed method provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear evolution equations.

Details

Title
Exact traveling wave solutions for the generalized Hirota-Satsuma couple KdV system using the exp(−φ(ξ))-expansion method
Author
Mostafa MA Khater 1 

1  Faculty of Science, Department of Mathematics, Mansoura University, 35516 Mansoura, Egypt 
Publication year
2016
Publication date
Dec 2016
Publisher
Taylor & Francis Ltd.
e-ISSN
23311835
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1080/23311835.2016.1172397
ProQuest document ID
1878130311
Copyright
© 2016 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.