Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634170 | Applied Mathematics and Computation | 2008 | 8 Pages |
Abstract
With the aid of two first-order nonlinear ordinary differential equations, the new generalized algebraic method is used to study the generalized variable-coefficient Gardner equation. The main idea of the method is to take full advantage of solutions to the first-order ordinary differential equations. More new exact non-travelling solutions, which include soliton solutions, combined soliton solutions, triangular periodic solutions, Jacobi elliptic function solutions and combined Jacobi elliptic function solutions, for the Gardner equation are obtained. The method used here can be also extended to many other nonlinear partial differential equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Li-Hua Zhang, Li-Hua Dong, Li-Mei Yan,