Abstract
With the help of the symbolic computation system Maple, a new generalized algebraic method to uniformly construct solutions in terms of special function of nonlinear partial differential equations is presented by means of a more general ansatz. As an application of the method, we choose a (2 + 1)-dimensional dispersive long wave equation to illustrate the method. As a result, we can successfully obtain the solutions found by the method proposed by Fan [E.G. Fan, Phys. Lett. A 300 (2002) 243] and find other new and more general solutions at the same time, which include polynomial solutions, exponential solutions, rational solutions, triangular periodic wave solutions, hyperbolic, and soliton solutions, Jacobi, and Weierstrass doubly periodic wave solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 247-255 |
| Number of pages | 9 |
| Journal | Applied Mathematics and Computation |
| Volume | 181 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Oct 2006 |
| Externally published | Yes |
Keywords
- (2 + 1)-dimensional dispersive long wave equation
- Periodic solution
- Soliton solution
- Symbolic computation
- Weierstrass and Jacobi elliptic functions