• B Dubrovin

      Articles written in Pramana – Journal of Physics

    • Symmetries and casimir of an extended classical long wave system

      K M Tamizhmani R Ilangovane B Dubrovin

      More Details Abstract Fulltext PDF

      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.

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