• Emergence and space–time structure of lump solution to the (2+1)-dimensional generalized KP equation

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    • Keywords

       

      Kadomtsev–Petviashvili equation; lump solution; space–time structure; Hirota’s bilinear method

    • Abstract

       

      A periodic breather-wave solution is obtained using homoclinic test approach and Hirota’s bilinear method with a small perturbation parameter $u_0$ for the (2+1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space–time structure of the lump solution are investigated and discussed using the extreme value theory.

    • Author Affiliations

       

      WEI TAN1 HOUPING DAI1 ZHENGDE DAI2 WENYONG ZHONG1

      1. College of Mathematics and Statistics, Jishou University, Jishou 416000, People’s Republic of China
      2. College of Mathematics and Statistics, Yunnan University, Kunming 650091, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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