Name
Title | ||
|---|---|---|
Travelling wave solutions for the (2 + 1) dimensional Nizhnik-Novikov-Veselov equation. |
Abstract | ||
|---|---|---|
Using an auxiliary ordinary differential equation method, we have obtained many exact travelling wave solutions for the (2+1) dimensional Nizhnik–Novikov–Veselov equation which is considered as a model for an incompressible fluid. The key of this method is to construct appropriate travelling wave functions in terms of solving a system of nonlinear algebraic equations. The method is also extended to the case of other nonlinear partial differential equations with solitary wave solutions, triangular periodic wave solutions and elliptic function solutions et al. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.05.004 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Exact solution,Travelling wave transformation,Auxiliary differential equation,Nonlinear algebraic equations,Solitary wave | Differential equation,Mathematical optimization,Mathematical analysis,First-order partial differential equation,Novikov–Veselov equation,Wave equation,Cnoidal wave,Sinusoidal plane-wave solutions of the electromagnetic wave equation,Partial differential equation,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
218 | 22 | 0096-3003 |
Citations | PageRank | References |
2 | 0.51 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jia-shi Tang | 1 | 5 | 1.89 |
| Feng Han | 2 | 2 | 0.84 |
| Minghua Zhao | 3 | 2 | 0.51 |
| Wenbin Fu | 4 | 9 | 9.14 |