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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
The (G′ /G) -expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics
Journal of Mathematical Physics, Volume 50, No. 1, Article 013502, Year 2009
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Description
I the present paper, we construct the traveling wave solutions involving parameters of the combined Korteweg-de Vries-modified Korteweg-de Vries equation, the reaction-diffusion equation, the compound KdV-Burgers equation, and the generalized shallow water wave equation by using a new approach, namely, the (G′ /G) -expansion method, where G=G () satisfies a second order linear ordinary differential equation. When the parameters take special values, the solitary waves are derived from the traveling waves. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. © 2008 American Institute of Physics.
Authors & Co-Authors
Zayed, Elsayed M.E.
Egypt, Zagazig
Faculty of Science
Saudi Arabia, Taif
Taif University
Gepreel, Khaled A.
Egypt, Zagazig
Faculty of Science
Statistics
Citations: 300
Authors: 2
Affiliations: 2
Identifiers
Doi:
10.1063/1.3033750
ISSN:
00222488
Research Areas
Environmental