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A generalized F-expansion method with symbolic computation exactly solving Broer–Kaup equations

2007; Elsevier BV; Volume: 189; Issue: 1 Linguagem: Inglês

10.1016/j.amc.2006.11.143

1873-5649

Sheng Zhang, Tiecheng Xia,

Fractional Differential Equations Solutions

In this paper, a generalized F-expansion method is applied to construct exact solutions of the (2 + 1)-dimensional Broer–Kaup equations. As a result, many general exact 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 two arbitrary functions. Compared with most existing F-expansion methods, the proposed method gives new and more general exact solutions. More importantly, with the aid of symbolic computation, the method provides a powerful mathematical tool to solve a large many nonlinear partial differential equations.