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Applications of an Extended (G `/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics
Faculty
Science
Year:
2010
Type of Publication:
Article
Pages:
Authors:
Zayed, E. M. E, Al-Joudi, Shorog
DOI:
10.1155/2010/768573
Journal:
MATHEMATICAL PROBLEMS IN ENGINEERING HINDAWI PUBLISHING CORPORATION
Volume:
Research Area:
Engineering; Mathematics
ISSN
ISI:000282976400001
Keywords :
Applications , , Extended , `/G)-Expansion Method , Find Exact
Abstract:
We construct the traveling wave solutions of the (1+1)-dimensional modified Benjamin-Bona-Mahony equation, the (2+1)-dimensional typical breaking soliton equation, the (1+1)-dimensional classical Boussinesq equations, and the (2+1)-dimensional Broer-Kaup-Kuperschmidt equations by using an extended (G'/G)-expansion method, where G satisfies the second-order linear ordinary differential equation. By using this method, new exact solutions involving parameters, expressed by three types of functions which are hyperbolic, trigonometric and rational function solutions, are obtained. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.
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