Rogue wave patterns of the Fokas-Lenells equation

IF 1.8 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY EPL Pub Date : 2023-12-20 DOI:10.1209/0295-5075/ad177b

Xue-Wei Yan, Yong Chen

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Abstract In this work, we study the high-order rogue wave solution for the Fokas-Lenells equation using the Kadomtsev-Petviashvili (KP) reduction method. These rogue wave patterns consist of triangle, pentagon, heptagon, nonagon, which are analytically described by the root structures of the Yablonskii-Vorob'ev polynomial hierarchy. On the other hand, we also report the other types of rogue wave patterns including heart-shaped, fan-shaped, two-arc+triangle, arc+pentagon, etc., which are analytically described by the root structures of Adler-Moser polynomials. These polynomials are the generalizations of the Yablonskii-Vorob'ev polynomial hierarchy, because of the arbitrariness of complex parameter

. In addition, these rogue wave patterns are formed by the Peregrine solitons undergoing dilation, rotation, stretch, shear and translation. We also compare the prediction solutions with the corresponding true solutions and show the good consistency between them.

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福卡斯-勒内尔斯方程的流波模式

摘要在这项工作中，我们使用 Kadomtsev-Petviashvili (KP) 简化方法研究了 Fokas-Lenells 方程的高阶无赖波解。这些无赖波图案由三角形、五边形、七边形和非四边形组成，它们由 Yablonskii-Vorob'ev 多项式层次结构的根结构分析描述。另一方面，我们还报告了其他类型的流氓波图案，包括心形、扇形、双弧+三角形、弧+五角形等，这些图案由阿德勒-莫泽多项式的根结构分析描述。这些多项式是 Yablonskii-Vorob'ev 多项式层次的广义化，因为复数参数 .此外，这些流氓波模式是由经历了扩张、旋转、拉伸、剪切和平移的百灵鸟孤子形成的。我们还将预测解与相应的真实解进行了比较，结果表明两者之间具有良好的一致性。

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来源期刊

EPL 物理-物理：综合

CiteScore

3.30

自引率

5.60%

发文量

332

审稿时长

1.9 months

期刊介绍： General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology. Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate). EPL also publishes Comments on Letters previously published in the Journal.