Breather Positons and Rogue Waves for the Nonlocal Fokas‐Lenells Equation

Chun Wang, Rong Fan, Zhao Zhang and Biao Li

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: In this paper, we investigate breather positons and higher‐order rogue waves for the nonlocal Fokas‐Lenells equation. In this nonlocal optical system, rogue waves can be generated when periods of breather positons go to infinity. In addition, we find two very interesting phenomena: one is that rogue waves sitting on a periodic line wave background are derived; the other is that a hybrid of rogue waves and a periodic kink wave is also constructed. We believe that these interesting findings exist in the optical system corresponding to the nonlocal Fokas‐Lenells equation.

Date: 2021
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https://doi.org/10.1155/2021/9959290

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:9959290

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