IJPAM: Volume 108, No. 4 (2016)

NEW TRAVELLING WAVE SOLUTIONS FOR NEW
POTENTIAL NONLINEAR PARTIAL
DIFFERENTIAL EQUATIONS

M.S. Al-Amry$^1$, A. Maher$^2$, H.M. El-Hawary$^3$
$^1$Department of Mathematics
Faculty of Science and Education
Aden University, YEMEN
$^{2,3}$Department of Mathematics
Faculty of Science
Assiut University
71516, EGYPT


Abstract. In this paper we apply the extended hyperbolic functions method, to solve the potential Padé-II equation and the potential Benjamin-Bona-Mahony (BBM) equation. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions and trigonometric functions. The extended hyperbolic functions method, is the used method for solving other nonlinear evalution equations.

Received: May 2, 2016

AMS Subject Classification: 35Q35, 37K45

Key Words and Phrases: extended hyperbolic functions method, exact solutions, potential Padé-II equation and the potential Benjamin-Bona-Mahony (BBM) equation

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DOI: 10.12732/ijpam.v108i4.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 4
Pages: 741 - 749


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