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- W2000253708 abstract "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." @default.
- W2000253708 created "2016-06-24" @default.
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- W2000253708 date "2014-01-01" @default.
- W2000253708 modified "2023-10-12" @default.
- W2000253708 title "Some new solutions of the (1+1)-dimensional PDE via the improved (G′/G)-expansion method" @default.
- W2000253708 cites W2048419058 @default.
- W2000253708 doi "https://doi.org/10.1063/1.4887630" @default.
- W2000253708 hasPublicationYear "2014" @default.
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