{"title":"Vector solitons and breathers for a variable-coefficient coherent coupled nonlinear Schrödinger equation","authors":"Lin-Wang Zhu, Cui-Cui Ding","doi":"10.1140/epjp/s13360-025-06215-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the variable-coefficient coherent coupled nonlinear Schrödinger system in weak birefringent fibers is investigated analytically. Lax pair and the <i>N</i>-fold potential transformation for the system are constructed. For the complex envelope of two interacting optical modes, exact vector one and two solitons and breathers are derived from the obtained potential transformation. Solitons and breathers with different dynamic properties are explored via adjusting the coefficient of the self-phase modulation and cross-phase modulation. Asymptotic analysis is used to discuss the interactions between two solitons. Two kinds of breathers with their existing conditions are analyzed.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 4","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06215-1","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the variable-coefficient coherent coupled nonlinear Schrödinger system in weak birefringent fibers is investigated analytically. Lax pair and the N-fold potential transformation for the system are constructed. For the complex envelope of two interacting optical modes, exact vector one and two solitons and breathers are derived from the obtained potential transformation. Solitons and breathers with different dynamic properties are explored via adjusting the coefficient of the self-phase modulation and cross-phase modulation. Asymptotic analysis is used to discuss the interactions between two solitons. Two kinds of breathers with their existing conditions are analyzed.
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