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Exact traveling wave solutions for the system of shallow water wave equations and modified Liouville equation using extended Jacobian elliptic function expansion method
American Journal of Computational Mathematics • 2014
Publication Information
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
American Journal of Computational Mathematics
Publisher
Published Online December 2014 i n SciRs.
Volume
4
Issue
Not Available
Pages
455- 463
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this work, an extended Jacobian elliptic function expansion method is proposed for construc
t-
ing 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
m
odified Lio
u-
ville equation which play an important role in mathematical physics.
t-
ing 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
m
odified Lio
u-
ville equation which play an important role in mathematical physics.