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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/079/03/0377-0392

    • Keywords

       

      Solitons; Jacobi elliptic functions; field theories; phase transitions.

    • Abstract

       

      Coupled discrete models are ubiquitous in a variety of physical contexts. We provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lamé polynomials of arbitrary order. The models discussed are: (i) coupled Salerno model, (ii) coupled Ablowitz–Ladik model, (iii) coupled $\phi^4$ model and (iv) coupled $\phi^6$ model. In all these cases we show that the coefficients of the Lamé polynomials are such that the Lamé polynomials can be re-expressed in terms of Chebyshev polynomials of the relevant Jacobi elliptic function.

    • Author Affiliations

       

      Avinash Khare1 Avadh Saxena2 Apoorva Khare3

      1. Indian Institute of Science Education and Research, Raja Ramanna Fellow, Pune 411 021, India
      2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
      3. Departments of Mathematics and Statistics, Stanford University, Stanford, CA 94305, USA

    • Dates

       
      Published
      September 2012
      Manuscript received
      23 January 2012
      Manuscript revised
      29 March 2012
      Accepted
      18 April 2012

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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