• Soliton-like solutions of some nonlinear theories and transformations among them

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Solitons; separatrix; transformations; multi-soliton solutions; nonlinear theories

    • Abstract


      The observation that the soliton-like solutions of a given second-order nonlinear differential equation define the separatrix of the equivalent autonomous system is used to obtain the one-soliton solutions for theφ4 theories (the usual and the one with the wrong sign of the mass term), theφ6, theφ8, the sine-Gordon theories and the KdV equation. Transformations are given which transform the sine-Gordon equation into an equation belonging to theφ2n class of theories. A procedure is evolved for obtaining the two-soliton solutions for the sine-Gordon theory without the use of Backlund transformations; it is suggested that this procedure may be useful for investigating the existence of similar solutions for theories of the polynomial type.

    • Author Affiliations


      G P Malik1 J Subba Rao1 Gautam Johri1 2

      1. School of Environmental Sciences, Jawaharlal Nehru University, New Delhi - 110 067, India
      2. Department of Physics and Astrophysics, University of Delhi, Delhi - 110 007, India
    • Dates

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.