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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 9
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Original Articles

A series of complexiton soliton solutions for non-linear Hirota–Satsuma equations using the generalized multiple Riccati equations rational expansion method

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Pages 987-1003 | Received 14 May 2008, Accepted 19 Jun 2008, Published online: 30 Mar 2009
 

Abstract

In this article, the generalized multiple Riccati equations rational expansion method has been used to construct a series of complexiton soliton solutions for the non-linear Hirota–Satsuma equations. With the help of symbolic computation software as Maple or Mathematica, we obtain many new types of complexiton soliton solutions, i.e. various combination of trigonometric periodic function and hyperbolic function solutions, various combination of trigonometric periodic function and rational function solutions, and various combination of hyperbolic function and rational function solutions.

Acknowledgements

This work is partially supported by Taif University, Saudi Arabia under the Grant No. 1-429-110. The authors wish to thank Taif University for this support.

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