Abstract
Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the shallow long wave approximate equations. New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave solutions are shown by some figures.
| Original language | English |
|---|---|
| Pages (from-to) | 77-88 |
| Number of pages | 12 |
| Journal | Applied Mathematics and Computation |
| Volume | 160 |
| Issue number | 1 |
| DOIs | |
| State | Published - 5 Jan 2005 |
| Externally published | Yes |
Keywords
- Exact solutions
- Projective Riccati equation method
- Shallow long wave approximate equation