Name
Title | ||
|---|---|---|
A symbolic computational method for constructing exact solutions to difference-differential equations |
Abstract | ||
|---|---|---|
In this paper, we extended tanh method to solve difference-differential equations and pure difference equations with the projective Riccati equation. As an example, we applied this method to a (2+1)-dimensional Toda lattice equation. As a result, many exact solutions are obtained with the help of symbolic system Maple including soliton solutions presented by hyperbolic functions sinh and cosh, periodic solutions presented by sin and cos and rational solutions. This method can also be used to other nonlinear difference-differential equations. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.amc.2005.11.060 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Difference-differential equation,Soliton solutions,Exact solutions,Toda equation | Differential equation,Nonlinear system,Transcendental equation,Mathematical analysis,Recurrence relation,Toda lattice,Hyperbolic function,Riccati equation,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
178 | 2 | 0096-3003 |
Citations | PageRank | References |
3 | 0.75 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wang Zhen | 1 | 5 | 1.49 |
| Hongqing Zhang | 2 | 138 | 48.35 |