Higher-order freak waves of the AB system revisited via a variable separation method

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-07 DOI:10.1016/j.aml.2025.109454

Minjie Dong, Xiubin Wang

引用次数: 0

Abstract

In this work, we theoretically calculate higher-order freak wave solutions of the AB system through a Darboux transformation by a separation of variable method. Furthermore, the dynamics of first-order and second-order freak wave solutions are discussed with some illustrative graphics. In particular, we observe the emergence of a four peaky-shaped freak wave in the second component, which contrasts with the previously reported four eye-shaped waves.

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通过变量分离方法重新研究了AB系统的高阶异常波

本文采用分离变量法，通过Darboux变换，从理论上计算了AB系统的高阶异常波解。此外，还讨论了一阶和二阶异形波解的动力学问题，并给出了一些图解。特别是，我们观察到在第二分量中出现了四个峰形畸形波，这与之前报道的四个眼形波形成了对比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.