Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635150 | Applied Mathematics and Computation | 2007 | 6 Pages |
Abstract
In this paper, a generalized auxiliary equation method is proposed to construct more general exact solutions of nonlinear partial differential equations. As an application of the method, the (2Â +Â 1)-dimensional Korteweg-de Vries equations are considered. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained including soliton-like solutions, trigonometric function solutions, exponential solutions and rational solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Sheng Zhang,