Name
Title | ||
|---|---|---|
Generalized algebraic method and new exact traveling wave solutions for (2 + 1)-dimensional dispersive long wave equation |
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. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.amc.2006.01.038 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Symbolic computation,(2+1)-dimensional dispersive long wave equation,Weierstrass and Jacobi elliptic functions,Soliton solution,Periodic solution | Soliton,Ansatz,Elliptic function,Nonlinear system,Polynomial,Weierstrass functions,Mathematical analysis,Wave equation,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
181 | 1 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qi Wang | 1 | 11 | 3.74 |
| Yong Chen | 2 | 34 | 10.54 |
| Hongqing Zhang | 3 | 138 | 48.35 |