Name
Title | ||
|---|---|---|
Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple |
Abstract | ||
|---|---|---|
A software package wkptest written in Maple is presented, which can carry out the traditional Painlevé test for polynomial partial differential equations automatically. Furthermore, some truncated expansions are also obtained whether an equation passes the test or not. The truncated expansions play an important role in studying the integrability, such as Lax pairs, bilinear forms, Darboux transformations and explicit solutions. The effectiveness of wkptest is illustrated by applying it to a variety of equations. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/j.cpc.2004.04.005 | Computer Physics Communications |
Keywords | Field | DocType |
02.30.Ik,02.30.Jr | Differential equation,Algebra,Exponential integrator,Ordinary differential equation,Mathematical analysis,Separable partial differential equation,Symbol of a differential operator,Numerical partial differential equations,First-order partial differential equation,Stochastic partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
161 | 1 | 0010-4655 |
Citations | PageRank | References |
14 | 2.31 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gui-Qiong Xu | 1 | 19 | 4.47 |
| Zhibin Li | 2 | 115 | 23.77 |