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    • Single-peak solitary wave solutions for the variant Boussinesq equations

      Hong Li Lilin Ma Dahe Feng

      Volume 80 Issue 6 June 2013 pp 933-944

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/080/06/0933-0944

    • Keywords

       

      Variant Boussinesq equations; single-peak solitary wave; solitary wave; cuspon.

    • Abstract

       

      This paper presents all possible smooth, cusped solitary wave solutions for the variant Boussinesq equations under the inhomogeneous boundary condition. The parametric conditions for the existence of smooth, cusped solitary wave solutions are given using the phase portrait analytical technique. Asymptotic analysis and numerical simulations are provided for smooth, cusped solitary wave solutions of the variant Boussinesq equations.

    • Author Affiliations

       

      Hong Li1 Lilin Ma Dahe Feng

      1. Department of Mathematics, Jiujiang University, Jiujiang 332005, People’s Republic of China

    • Dates

       
      Published
      June 2013

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      Posted on July 25, 2019

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