• Dynamics of rogue waves on multisoliton background in the Benjamin Ono equation

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      https://www.ias.ac.in/article/fulltext/pram/088/04/0057

    • Keywords

       

      Benjamin Ono equation; rogue wave; Hirota bilinear method; hybrid solution

    • Abstract

       

      For the Benjamin Ono equation, the Hirota bilinear method and long wave limit method are applied to obtain the breathers and the rogue wave solutions. Bright and dark rogue waves exist in the Benjamin Ono equation, and their typical dynamics are analysed and illustrated. The semirational solutions possessing rogue waves and solitons are also obtained, and demonstrated by the three-dimensional figures. Furthermore, the hybrid of rogue wave and breather solutions are also found in the Benjamin Ono equation.

    • Author Affiliations

       

      YUN-KAI LIU1 BIAO LI1

      1. Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Department of Mathematics, Ningbo University, Ningbo 315211, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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