Abstract
Making use of a new generalized ansatzes, we present the generalized extended tanh-function method for constructing the exact solutions of nonlinear partial differential equations (NPDEs) in a unified way. Applying the generalized method, with the aid of MAPLE, we consider the Wu-Zhang equation (which describes (1 + 1)-dimensional dispersive long wave). As a result, we can successfully obtain the solitary wave solutions that can be found by the extended tanh-function method and the modified extended tanh-function method. More importantly, for the equation, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary wave solutions, bell-profile solitary wave solutions, periodic wave solutions, rational solutions, singular solutions and other new formal solutions. As an illustrative sample, the properties of some soliton solutions for Wu-Zhang equation are shown by some figures.
| Original language | English |
|---|---|
| Pages (from-to) | 145-157 |
| Number of pages | 13 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 311 |
| Issue number | 2-3 |
| DOIs | |
| State | Published - 12 May 2003 |
| Externally published | Yes |
Keywords
- Extended tanh-function method
- Nonlinear partial differential equation
- Solitary wave solutions
- Symbolic computation
- Wu-Zhang equation
- Wu-elimination