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Rogue waves on the general periodic travelling waves background for an extended modified Korteweg-de Vries equation
  • Yi Zhang,
  • Yu Lou,
  • RS Ye
Yi Zhang
Zhejiang Normal University
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Yu Lou
Zhejiang Normal University
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RS Ye
Zhejiang Normal University
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Abstract

Under consideration in this paper is rogue waves on the general periodic travelling waves background of an integrable extended modified Korteweg-de Vries equation. The general periodic travelling wave solutions are presented in terms of the sub-equation method. By means of the Darboux transformation and the nonlinearization of the Lax pair, we present the first-, second- and third-order rogue waves on the general periodic travelling waves background. Furthermore, the dynamic behaviors of rogue periodic waves are elucidated from the viewpoint of three-dimensional structures.

Peer review status:ACCEPTED

24 Feb 2021Submitted to Mathematical Methods in the Applied Sciences
25 Feb 2021Submission Checks Completed
25 Feb 2021Assigned to Editor
28 Feb 2021Reviewer(s) Assigned
06 May 2021Review(s) Completed, Editorial Evaluation Pending
13 May 2021Editorial Decision: Revise Minor
11 Jun 20211st Revision Received
11 Jun 2021Submission Checks Completed
11 Jun 2021Assigned to Editor
15 Jun 2021Reviewer(s) Assigned
15 Jun 2021Review(s) Completed, Editorial Evaluation Pending
15 Jun 2021Editorial Decision: Accept