• Breaking soliton equations and negative-order breaking soliton equations of typical and higher orders

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/087/05/0068

    • Keywords

       

      Breaking soliton equations; negative-order breaking soliton equations; recursion operator.

    • Abstract

       

      We develop breaking soliton equations and negative-order breaking soliton equations of typical and higher orders. The recursion operator of the KdV equation is used to derive these models.We establish the distinctdispersion relation for each equation. We use the simplified Hirota’s method to obtain multiple soliton solutions for each developed breaking soliton equation. We also develop generalized dispersion relations for the typical breaking soliton equations and the generalized negative-order breaking soliton equations. The results provide useful information on the dynamics of the relevant nonlinear negative-order equations.

    • Author Affiliations

       

      ABDUL-MAJID WAZWAZ1

      1. Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA
    • 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.