Article ID Journal Published Year Pages File Type
471897 Computers & Mathematics with Applications 2009 6 Pages PDF
Abstract

In this paper, the Exp-function method is used to obtain general solutions of a first-order nonlinear ordinary differential equation with a fourth-degree nonlinear term. Based on the first-order nonlinear ordinary equation and its general solutions, new and more general exact solutions with free parameters and arbitrary functions of the (2+12+1)-dimensional dispersive long wave equations are obtained, from which some hyperbolic function solutions are also derived when setting the free parameters as special values. It is shown that the Exp-function method with the help of symbolic computation provides a straightforward and very effective mathematical tool for solving nonlinear evolution equations in mathematical physics.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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