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    • Kink degeneracy and rogue potential solution for the (3+1)-dimensional B-type Kadomtsev--Petviashvili equation

      ZHENHUI XU HANLIN CHEN ZHENGDE DAI

      Research Article Volume 87 Issue 2 August 2016 Article ID 0031

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      https://www.ias.ac.in/article/fulltext/pram/087/02/0031

    • Keywords

       

      B-type Kadomtsev--Petviashvili equation, homoclinic breather limit method, rational breather solution, kink degeneracy, rogue potential solution

    • Abstract

       

      In this paper, we obtained the exact breather-type kink soliton and breather-type periodic soliton solutions for the (3+1)-dimensional B-type Kadomtsev--Petviashvili (BKP) equation using the extended homoclinic test technique. Some new nonlinear phenomena, such as kink and periodic degeneracies, are investigated. Using the homoclinic breather limit method, some new rational breather solutions are found as well. Meanwhile, we also obtained the rational potential solution which is found to be just a rogue wave. These results enrich thevariety of the dynamics of higher-dimensional nonlinear wave field.

    • Author Affiliations

       

      ZHENHUI XU1 HANLIN CHEN2 ZHENGDE DAI3

      1. Applied Technology College, Southwest University of Science and Technology, Mianyang 621010, People’s Republic of China
      2. School of Science, Southwest University of Science and Technology, Mianyang 621010, People’s Republic of China
      3. School of Mathematics and Physics, Yunnan University, Kunming, 650091, People’s Republic of China

    • Dates

       
      Published
      15 August 2016
      Manuscript received
      31 May 2015
      Manuscript revised
      28 September 2015
      Accepted
      18 November 2015
      Final version published online
      26 July 2016

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