General high-order breather solutions, lump solutions and mixed solutions in the (2+1)-dimensional bidirectional Sawada-Kotera equation

Biao LI, Jiao-Jiao DONG, Man Wai YUEN

Research output: Contribution to journalArticles

Abstract

In this paper, we investigate some interesting solution structures of the (2+1)-dimensional bidirectional Sawada-Kotera (bSK) equation. We obtain general high-order breather solutions by utilizing the Hirota's bilinear method united with the perturbation expansion technique. Taking a long-wave limit of the obtained breather solutions and then making particular parameter constraints, smooth rational solutions are generated, which include high-order lumps and mixed solutions consisting of lumps and stripe. In order to easily explore the dynamical behaviors, some plots are presented to analyse these solutions. Copyright © 2020 Shanghai Normal University & Wilmington Scientific Publisher.
Original languageEnglish
JournalJournal of Applied Analysis and Computation
Publication statusAccepted/In press - 2020

Citation

Li, B., Dong, J.-J., & Yuen, M. (2020). General high-order breather solutions, lump solutions and mixed solutions in the (2+1)-dimensional bidirectional Sawada-Kotera equation. Journal of Applied Analysis and Computation. Advance online publication. http://jaac.ijournal.cn/

Keywords

  • (2+1)-dimensional bSK equation
  • Hirota's bilinear
  • Breather solutions
  • Lump solutions
  • Mixed solution

Fingerprint Dive into the research topics of 'General high-order breather solutions, lump solutions and mixed solutions in the (2+1)-dimensional bidirectional Sawada-Kotera equation'. Together they form a unique fingerprint.