A maple package for the Painleve Test of Nonlinear Partial Differential Equations |
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作者姓名: | 徐桂琼 李志斌 |
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作者单位: | [1]DepartmentofComputerScience,EastChinaNormalUniversity,Shanghai200062;DepartmentofInformationAdministration,ShanghaiUniversity,Shanghai200436 [2]DepartmentofComputerScience,EastChinaNormalUniversity,Shanghai200062; |
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摘 要: | A Maple package,named PLtest,is presented to study whether or not nonlinear partial differential equations (PDEs) pass the Painleve test.This package is based on the so-called WTC-Kruskal algorithm,which combines the standard WTC algorithm and the Kruskal simplification algorithm.Therefore,we not only study whether the given PDEs pass the test or not,but also obtain its truncated expansion form related to some integrability properties.Several well-known nonlinear models with physical interests illustrate the effectiveness of this package.
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关 键 词: | 非线性编微分方程 Painleve测试 潘勒韦分析 PDEs WTC-Kruskal算法 可积分性 物理学 非线性模型 |
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