{"title":"Beak-type breathers and rogue waves for a coupled Hirota system with the negative coherent coupling in an optical fiber","authors":"Shao-Hua Liu, Bo Tian, Xiao-Tian Gao","doi":"10.1016/j.chaos.2025.116177","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we investigate a coupled Hirota system with the negative coherent coupling in an optical fiber. Via an existing binary Darboux transformation, we obtain the vector one and two-peak beak-type Akhmediev breathers on the nonzero backgrounds. Besides, we also get the diverse vector rogue waves such as the vector eye-shaped rogue wave and vector beak-type rogue wave.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"194 ","pages":"Article 116177"},"PeriodicalIF":5.3000,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925001900","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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Abstract
In this paper, we investigate a coupled Hirota system with the negative coherent coupling in an optical fiber. Via an existing binary Darboux transformation, we obtain the vector one and two-peak beak-type Akhmediev breathers on the nonzero backgrounds. Besides, we also get the diverse vector rogue waves such as the vector eye-shaped rogue wave and vector beak-type rogue wave.
期刊介绍：
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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