Abstract
In this Letter, an extended first kind elliptic sub-equation method and its algorithm are proposed by studying a first order nonlinear ordinary differential equation with a sixth-degree nonlinear term. Being concise and straightforward, the method is applied to the generalized reaction Duffing model. As a consequence, more types of exact travelling wave solutions are obtained which include new bell and kink profile solitary wave solutions, triangular periodic wave solutions and singular solutions. The method can be also extended to many other nonlinear wave equations.
| Original language | English |
|---|---|
| Pages (from-to) | 229-237 |
| Number of pages | 9 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 344 |
| Issue number | 2-4 |
| DOIs | |
| State | Published - 5 Sep 2005 |
| Externally published | Yes |
Keywords
- Extended first kind elliptic sub-equation method
- Generalized reaction Duffing model
- Nonlinear wave equation
- Solitary wave solution
- Triangular periodic wave solution