The Modified (G'/G)-Expansion Method for Exact Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation

Abstract

In this paper, we successfully modified the (G0/G)-expansion method and as an application proposed to construct exact solutions of the (3+1)-dimensional JimboMiwa equation. Each of the obtained solutions, namely the hyperbolic function solutions, the trigonometric function solutions and the rational solutions contain an explicit linear function of the variables in the equation in question. It is shown that the proposed method with the help of a symbolic computation provides a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

Keywords

• Nonlinear evolution equation,Jimbo-Miwa equation,(G0/G)-expansion method,hyperbolic function solutions,trigonometric function solutions,rational solutions

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