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The Painlevé Test of Nonlinear Partial Differential Equations and Its Implementation Using Maple

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Book cover Computer Algebra and Geometric Algebra with Applications (IWMM 2004, GIAE 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3519))

Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Information Management, College of International Business, and Management, Shanghai University, Shanghai, 201800, China

    Gui-qiong Xu

  2. Department of Computer Science, East China Normal University, Shanghai, 200062, P. R. China

    Zhi-bin Li

Authors
  1. Gui-qiong Xu
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  2. Zhi-bin Li
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Editor information

Editors and Affiliations

  1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, CAS, P.O. Box, 100080, Beijing, P.R. China

    Hongbo Li

  2. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, U.S.A.

    Peter J. Olver

  3. Institute of Computer Science, Christian-Albrecht-University, 24098, Kiel, Germany

    Gerald Sommer

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© 2005 Springer-Verlag Berlin Heidelberg

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Xu, Gq., Li, Zb. (2005). The Painlevé Test of Nonlinear Partial Differential Equations and Its Implementation Using Maple. In: Li, H., Olver, P.J., Sommer, G. (eds) Computer Algebra and Geometric Algebra with Applications. IWMM GIAE 2004 2004. Lecture Notes in Computer Science, vol 3519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11499251_15

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  • DOI: https://doi.org/10.1007/11499251_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26296-1

  • Online ISBN: 978-3-540-32119-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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