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Application of (G'/G)-expansion method for systems of nonlinear evolution equations

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In this paper, the [수식]-expansion method is used to seek more general exact solutions of the (2 + 1)-dimensional coupled nonlinear extension of the reaction-diffusion (CNLERD) equation and the Jaulent-Miodek (JM) equation. As a result, hyperbolic function solutions, trigonometric function solutions and rational function solutions with free parameters are obtained. When the parameters are taken as special values the solitary wave solutions are also derived from the travelling wave solutions. It is shown that the proposed method is more powerful and more general.

Abstract

In this paper, the [수식]-expansion method is used to seek more general exact solutions of the (2 + 1)-dimensional coupled nonlinear extension of the reaction-diffusion (CNLERD) equation and the Jaulent-Miodek (JM) equation. As a result, hyperbolic function solutions, trigonometric function solutions and rational function solutions with free parameters are obtained. When the parameters are taken as special values the solitary wave solutions are also derived from the travelling wave solutions. It is shown that the proposed method is more powerful and more general.

참고문헌 (39)

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