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Riemann-Hilbert problem associated with the vector Lakshmanan-Porsezian-Daniel model in the birefringent optical fibers
  • Beibei Hu,
  • Ji Lin,
  • Ling Zhang
Beibei Hu
Zhejiang Normal University

Corresponding Author:[email protected]

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Ji Lin
Zhejiang Normal University
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Ling Zhang
Chuzhou University
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In this paper, we investigate vector Lakshmanan-Porsezian-Daniel (VLPD) model which can be used to describe the ultrashort pulses in the birefringent optical fiber. Based on the unified transformation method, the Riemann-Hilbert problem is introduced and initial-boundary value problems of the VLPD model are studied. By solving the formulated matrix Riemann-Hilbert problem, the potential function solutions of the VLPD model can be reconstructed. Moreover, that the spectral functions are not independent but meet the so-called global relation is shown.
18 Sep 2021Submitted to Mathematical Methods in the Applied Sciences
19 Sep 2021Submission Checks Completed
19 Sep 2021Assigned to Editor
29 Sep 2021Reviewer(s) Assigned
25 Feb 2022Review(s) Completed, Editorial Evaluation Pending
15 Mar 2022Editorial Decision: Revise Major
14 May 20221st Revision Received
14 May 2022Submission Checks Completed
14 May 2022Assigned to Editor
20 May 2022Reviewer(s) Assigned
20 May 2022Review(s) Completed, Editorial Evaluation Pending
27 May 2022Editorial Decision: Accept