Name
Title | ||
|---|---|---|
PDEPtest: a package for the Painlevé test of nonlinear partial differential equations |
Abstract | ||
|---|---|---|
The so-called WTC-Kruskal algorithm is presented in order to study the Painleve integrability of nonlinear partial differential equations, which combines the WTC method and Kruskal's simplification method. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. This package can handle nonlinear partial differential equations which can be transformed to polynomial ones, and its effectiveness is illustrated by applying it to a variety of equations. Some new results are reported. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.amc.2004.10.055 | Applied Mathematics and Computation |
Keywords | Field | DocType |
symbolic computation,the wtc method,nonlinear partial differential equations,new result,simplification method,wtc method,painleve integrability,so-called wtc-kruskal algorithm,nonlinear partial differential equation,painlevé test,wtc-kruskal algorithm,kruskal’s simplification | Nonlinear system,Separable partial differential equation,Mathematical analysis,Method of characteristics,Numerical partial differential equations,Stochastic partial differential equation,Numerical analysis,Partial differential equation,Mathematics,Multigrid method | Journal |
Volume | Issue | ISSN |
169 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.41 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gui-Qiong Xu | 1 | 19 | 4.47 |
| Zhibin Li | 2 | 115 | 23.77 |