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

      WEI TAN HOUPING DAI ZHENGDE DAI WENYONG ZHONG

      Research Article Volume 89 Issue 5 November 2017 Article ID 0077

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/089/05/0077

    • 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

       
      Published
      10 November 2017
      Manuscript received
      13 March 2017
      Manuscript revised
      9 June 2017
      Accepted
      9 June 2017
      Early published
      Unedited version published online
      Final version published online
      31 October 2017

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