A Generalized F-expansion Method and its Application to (2 + 1)-dimensional Breaking Solition Equations
نویسندگان
چکیده
In this paper, a generalized F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the (2 + 1)dimensional breaking soliton equations to illustrate the validity and advantages of the proposed method. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained including single and combined non-degenerate Jacobi elliptic function solutions, soliton-like solutions and trigonometric function solutions, each of which contains an arbitrary function of two variables. Compared with the most existing F-expansion methods, the proposed method gives new and more general exact solutions. More importantly it provides a straightforward mathematical tool for solving a great many nonlinear evolution equations in mathematical physics.
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