Painlevé Singular Manifold Equation and Integrability

  • R. Conte
Part of the Inverse Problems and Theoretical Imaging book series (IPTI)


We recall the importance of the truncation procedure in PDE Painlevé analysis. Using the recently introduced invariant analysis, we define the singular manifold equations set, in both integrable and nonintegrable cases, as the condition for a truncated expansion to exist. As an application, we derive the correct form of this set for Sawada-Kotera equation.


Invariant Analysis Determine Equation Schwarzian Derivative Truncation Procedure Sivashinsky Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • R. Conte
    • 1
  1. 1.Service de Physique du Solide et de Résonance MagnétiqueCentre d’Etudes Nucléaires de SaclayGif-sur-Yvette CédexFrance

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