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      https://www.ias.ac.in/article/fulltext/pram/080/04/0559-0569

    • Keywords

       

      Dispersionless equations; symmetries; casimir; conserved quantities.

    • Abstract

       

      In this paper, we derive Lie point, generalized, master and time-dependent symmetries of a dispersionless equation, which is an extension of a classical long wave system. This equation also admits an infinite-dimensional Lie algebraic structure of Virasoro-type, as in the dispersive integrable systems. We discuss the construction of a sequence of negative ranking symmetries through the property of uniformity in rank. More interestingly, we obtain the conserved quantities directly from the casimir of Poisson pencil.

    • Author Affiliations

       

      K M Tamizhmani1 R Ilangovane1 B Dubrovin2

      1. Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University, Puducherry 605 014, India
      2. Scuola Internazionale Superiore di Studi Avanzati, via Bonomea, 265, 34136 Trieste, Italy
    • Dates

       
  • Pramana – Journal of Physics | News

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