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      https://www.ias.ac.in/article/fulltext/pram/095/0207

    • Keywords

       

      Non-isopectral flows; dispersionless equations; Lie algebraic structures.

    • Abstract

       

      In this paper, we derive the non-isospectral flows of dispersionless modified Kadomtsev–Petviashvili (dmKP) hierarchies by applying quasiclassical limit in the associated Lax equations of the mKP system. Along with the isospectral flows, we investigate the underlying infinite-dimensional Lie algebraic structure of the dmKP system through the construction of implicit flow representations. In addition to this, we also discuss the correspondence between the non-isospectral flows of dKP and dmKP hierarchies by the dispersionless Miura map.

    • Author Affiliations

       

      R ILANGOVANE1 K KRISHNAKUMAR2 K M TAMIZHMANI3

      1. Department of Mathematics, Perunthalaivar Kamarajar Institute of Engineering and Technology (PKIET), Karaikal 609 603, India
      2. Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001, India
      3. Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University, Kalapet 605 014, India
    • Dates

       
  • Pramana – Journal of Physics | News

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