• On complexly coupled modified KdV equations

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      https://www.ias.ac.in/article/fulltext/pram/075/04/0709-0718

    • Keywords

       

      Complexly coupled modified KdV equations; analytic representation; Lax pair representation; bi-Hamiltonian structure.

    • Abstract

       

      We introduced complexly coupled modified KdV (ccmKdV) equations, which could be derived from a two-layer fluid model [Yang and Mao, Chin. Phys. Lett. 25, 1527 (2008); Hu, J. Phys. A: Math. Theor. 43, 185207 (2009)], and used the Miura transformation to construct expressions for their alternative Lax pair representations. We derived a Lagrangian-based approach to study the Hamiltonian structures of the ccmKdV equations and observed that the complexly coupled mKdV equations have an additional analytic structure. The coupled equations were characterized by two alternative Lagrangians not connected by a gauge term. We examined how the alternative Lagrangian descriptions of the system affect the bi-Hamiltonian structures.

    • Author Affiliations

       

      Amitava Choudhuri1

      1. Department of Physics, Visva-Bharati University, Santiniketan 731 235, India
    • Dates

       
  • Pramana – Journal of Physics | News

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