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A series of complexiton soliton solutions for nonlinear Jaulent—Miodek PDEs using the Riccati equations method

Published online by Cambridge University Press:  26 September 2011

E. M. E. Zayed  and
Khaled A. Gepreel
E. M. E. Zayed
Affiliation:
Mathematics Department, Faculty of Science, Zagazig University, Zagazig 44519, Egypt (eme_zayed@yahoo.com)
Khaled A. Gepreel
Affiliation:
Mathematics Department, Faculty of Science, Taif University, El-Hawiyah PO Box 888, El-Taif 5700, Saudi Arabia (kagepreel@yahoo.com)
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Abstract

We use the extended multiple Riccati equations expansion method to construct a series of double-soliton-like solutions, double triangular function solutions and complexiton soliton solutions for nonlinear Jaulent-Miodek PDEs. With the help of symbolic computation using Maple and Mathematica, we obtain many new types of complexiton soliton solutions, i.e. various combinations of trigonometric periodic functions and hyperbolic function solutions, various combinations of trigonometric periodic functions and rational function solutions, and various combinations of hyperbolic functions and rational function solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 5 , October 2011 , pp. 1001 - 1015
Copyright
Copyright © Royal Society of Edinburgh 2011

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