Title | ||
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The painlevé test of nonlinear partial differential equations and its implementation using maple |
Abstract | ||
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The so-called WTC-Kruskal algorithm is presented in order to study the Painlevé integrability of nonlinear partial differential equations, which combines the WTC algorithm and Kruskal's simplification algorithm. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. The applications of PDEPtest to several nonlinear partial differential equations are also presented and some new results are reported. |
Year | DOI | Venue |
---|---|---|
2004 | null | Lecture Notes in Computer Science |
Keywords | Field | DocType |
new result,simplification algorithm,wtc algorithm,so-called wtc-kruskal algorithm,nonlinear partial differential equation,wtc-kruskal algorithm | Applied mathematics,Differential equation,Nonlinear system,Exponential integrator,Mathematical analysis,Separable partial differential equation,First-order partial differential equation,Numerical partial differential equations,Stochastic partial differential equation,Mathematics,Hyperbolic partial differential equation | Conference |
Volume | Issue | ISSN |
3519 | null | null |
ISBN | Citations | PageRank |
3-540-26296-2 | 0 | 0.34 |
References | Authors | |
3 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Gui-Qiong Xu | 1 | 19 | 4.47 |
Zhibin Li | 2 | 115 | 23.77 |