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Characteristics of rogue waves on a soliton background of the vector Lakshmanan-Porsezian-Daniel equation
  • Dong Min-Jie,
  • Lixin Tian
Dong Min-Jie
Nanjing Normal University

Corresponding Author:dongminjiepoppy@126.com

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Lixin Tian
Jiangsu University
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In this paper, the semi-rational solutions that causes vector rogue waves and breathers can be obtained by using the Darboux dressing transformation. We studied vector rogue waves and the interaction between rogue waves and light-dark solitons, and observed that during the interaction, due to the interference between the light-dark components of the solitons, a respiration-like structures appears. Besides, it can be observed that the rogue waves and soliton merge together. Moreover, the main characteristics of the interactions between the breathers and bright-dark solitons are displayed with some graphics.
24 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
04 Jul 2020Submission Checks Completed
04 Jul 2020Assigned to Editor
18 Sep 2020Reviewer(s) Assigned
28 Sep 2020Review(s) Completed, Editorial Evaluation Pending
29 Oct 2020Editorial Decision: Revise Minor
07 Nov 20201st Revision Received
07 Nov 2020Submission Checks Completed
07 Nov 2020Assigned to Editor
07 Nov 2020Editorial Decision: Accept