• Painlevé analysis and integrability aspects of some nonlinear partial differential equations

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      https://www.ias.ac.in/article/fulltext/pram/048/01/0143-0161

    • Keywords

       

      Painlevé analysis; integrability; solitons; Lax pair

    • Abstract

       

      A brief review of the Painlevé singularity structure analysis of some autonomous and nonautonomous nonlinear partial differential equations is discussed. We point out how the Painlevé analysis of solutions of these equations systematically provides the integrability properties of the equation. The Lax pair, Bäcklund transformation and bilinear forms are constructed from the analysis.

    • Author Affiliations

       

      K Porsezian1 2

      1. Institut für Theoretische Physik, Universität Hannover, Hannover - 30167, Germany
      2. Centre for Laser Technology, Department of Physics, Anna University, Madras - 600 025, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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