Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method
Citation
Naher, H., & Abdullah, F. A. (2014). Some new solutions of the (1+1)-dimensional PDE via the improved (G ′/ G)-expansion method. Paper presented at the AIP Conference Proceedings, , 1605 446-451. doi:10.1063/1.488763Abstract
In this article, an improved (G′/G)-expansion method is implemented for the simplified Modified Camassa-Holm (MCH) equation involving parameters, with an aim to construct many new traveling wave solutions. In this method, second order linear ordinary differential equation with constant coefficients has been implemented as an auxiliary equation. The generated solutions including solitons and periodic solutions are demonstrated by the hyperbolic function, the trigonometric function and the rational forms. If the parameters take particular values, the solutions become in special functional form. Moreover, it is worth mentioning that, some of our solutions are in good agreement with already published results in the open literature by setting appropriate values of constants, which proves our other solutions. In addition, some of obtained solutions are described in the figures with the aid of commercial software Maple 13.
Keywords
Nonlinear evolution equations; The improved (G'/G) -expansion method; The simplified MCH equation; Traveling wave solutionsDescription
This article was published in the Journal of Retailing [© 2014 Published by American Institute of Physics Inc.] and the definite version is available at: http://dx.doi.org/10.1063/1.4887630 The Journal's website is at: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4887630Department
Department of Mathematics and Natural Sciences, BRAC UniversityType
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