1. The auxiliary elliptic-like equation and the exp-function method.
- Author
-
Hong Li and Jin-Liang Zhang
- Subjects
- *
NONLINEAR differential equations , *DIFFERENTIAL equations , *EQUATIONS , *NONLINEAR theories , *DUFFING equations , *NONLINEAR evolution equations , *EDUCATION - Abstract
The auxiliary equation method is very useful for finding the exact solutions of the nonlinear evolution equations. In this paper, a new idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the auxiliary elliptic-like equation are derived using exp-function method, and then the exact solutions of the nonlinear evolution equations are derived with the aid of auxiliary elliptic-like equation. As examples, the RKL models, the high-order nonlinear Schrödinger equation, the Hamilton amplitude equation, the generalized Hirota-Satsuma coupled KdV system and the generalized ZK-BBM equation are investigated and the exact solutions are presented using this method. [ABSTRACT FROM AUTHOR]
- Published
- 2009
- Full Text
- View/download PDF