Abstract
An extended Jacobi elliptic function method is proposed for constructing the exact double periodic solutions of nonlinear partial differential equations (PDEs) in a unified way. It is shown that these solutions exactly degenerate to the many types of soliton solutions in a limited condition. The Wu-Zhang equation (which describes the (2+1)-dimensional dispersive long wave) is investigated by this means and more formal double periodic solutions are obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 5-10 |
| Number of pages | 6 |
| Journal | Chinese Physics (Overseas Edition) |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2004 |
| Externally published | Yes |
Keywords
- Double periodic solutions
- Jacobi elliptic function
- Solitary wave solutions