Exact Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics
Year: 2011
Journal of Information and Computing Science, Vol. 6 (2011), Iss. 2 : pp. 129–142
Abstract
In this article, by introducing a new general ansatze, the improved ( )- expansion - method is proposed to construct exact solutions of some nonlinear partial differential equations in mathematical physics via the generalized Zakharov equations, the coupled Maccaris equations, the (2+1)- dimensional Wu-Zhang equations and the (1+1) dimensional Fornberg – Whitham equation in terms of the hyperbolic functions , trigonometric functions and rational function, where satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary wave are derived from the traveling waves. This method is reliable, simple and gives many new exact solutions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22686
Journal of Information and Computing Science, Vol. 6 (2011), Iss. 2 : pp. 129–142
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14