Abstract
A nonlinear transformation and some multi-solition solutions for the (2+1)-dimensional generalized Broer-Kaup (GBK) system is first given by using the homogeneous balance method. Then starting from the nonlinear transformation, we reduce the (2+1)-dimensional GBK system to a simple linear evolution equation. Solving this equation, we can obtain some new explicit exact solutions of the original equations by means of the extended hyperbola function method.
| Original language | English |
|---|---|
| Pages (from-to) | 397-400 |
| Number of pages | 4 |
| Journal | Communications in Theoretical Physics |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| State | Published - 15 Mar 2005 |
| Externally published | Yes |
Keywords
- Exact solutions
- Generalized Broer-Kaup system
- Homogeneous balance method
- Hyperbola function method
- Nonlinear transformation