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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/058/03/0443-0448

    • Keywords

       

      KdV hierarchy; base-equations method

    • Abstract

       

      A base-equation method is implemented to realize the hereditary algebra of the Korteweg-de Vries (KdV) hierarchy and the N-soliton manifold is reconstructed. The novelty of our approach is that, it can in a rather natural way, predict other nonlinear evolution equations which admit local conservation laws. Significantly enough, base functions themselves are found to provide a basis to regard the KdV-like equations as higher order degenerate bi-Lagrangian systems.

    • Author Affiliations

       

      Subhendu Chakrabarti1 J Pal2 B Talukdar1

      1. Department of Physics, Visva-Bharati University, Santiniketan - 731 235, India
      2. Department of Physics, Bolpur College, Bolpur - 731 204, India

    • Dates

       
      Published
      March 2002
      Manuscript received
      4 February 2001
      Accepted
      4 July 2001

  • Pramana – Journal of Physics | News

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