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

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      https://www.ias.ac.in/article/fulltext/pram/020/05/0429-0438

    • 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

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      Posted on July 25, 2019

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