TITLE:
Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method
AUTHORS:
Emad H. M. Zahran, Mostafa M. A. Khater
KEYWORDS:
Extended Jacobian Elliptic Function Expansion Method, The System of Shallow Water Wave Equations, Modified Liouville Equation, Traveling Wave Solutions, Solitary Wave Solutions
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.4 No.5,
December
25,
2014
ABSTRACT: In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the system of shallow water wave equations and modified Liouville equation which play an important role in mathematical physics.