• Bäcklund transformation and soliton solutions in terms of the Wronskian for the Kadomtsev–Petviashvili-based system in fluid dynamics

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      https://www.ias.ac.in/article/fulltext/pram/090/04/0045

    • Keywords

       

      Fluid dynamics; Kadomtsev–Petviashvili-based system; Wronskian; Hirota method; soliton solutions; Bäcklund transformation

    • Abstract

       

      In this paper, investigation is made on a Kadomtsev–Petviashvili-based system, which can be seen in fluid dynamics, biology and plasma physics. Based on the Hirota method, bilinear form and Bäcklund transformation(BT) are derived. $N$-soliton solutions in terms of the Wronskian are constructed, and it can be verified that the $N$ soliton solutions in terms of the Wronskian satisfy the bilinear form and Bäcklund transformation. Through the $N$-soliton solutions in terms of the Wronskian, we graphically obtain the kink-dark-like solitons and parallel solitons, which keep their shapes and velocities unchanged during the propagation.

    • Author Affiliations

       

      ZHONG DU1 BO TIAN1 XI-YANG XIE1 JUN CHAI1 XIAO-YU WU1

      1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
    • Dates

       
  • Pramana – Journal of Physics | News

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