School of Mathematical and Statistical Sciences Faculty Publications and Presentations
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition
Document Type
Article
Publication Date
2-2024
Abstract
In this paper, we clarify the connection of the Fokas–Lenells (FL) equation to the Kadomtsev–Petviashvili (KP)–Toda hierarchy by using a set of bilinear equations as a bridge and confirm multidark soliton solution to the FL equation previously given by Matsuno (J. Phys. A 2012 45 (475202). We also show that the set of bilinear equations in the KP–Toda hierarchy can be generated from a single discrete KP equation via Miwa transformation. Based on this finding, we further deduce the multibreather and general rogue wave solutions to the FL equation. The dynamical behaviors and patterns for both the breather and rogue wave solutions are illustrated and analyzed.
Recommended Citation
Zhang Y, Ma R, Feng B-F. KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition. Stud Appl Math. 2024; 152: 734–759. https://doi.org/10.1111/sapm.12654
Publication Title
Stud Appl Math
DOI
10.1111/sapm.12654
Comments
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