{"title":"呼吸器-呼吸器相互作用、光纤中可积分自旋系统的有理解和半有理解","authors":"Qin-Ling Liu , Yan-Nan Zhao , Hui-Qin Hao","doi":"10.1016/j.ijleo.2024.172064","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates an integrable spin system (or Heisenberg ferromagnet-type equation or Nurshuak-IIA equation) which is an integrable generalization of the Heisenberg ferromagnet equation that raises from magneto-optical devices. The <span><math><mi>N</mi></math></span>-fold Darboux transformation of the Nurshuak-IIA equation will be constructed. With the selection of several parameters, a variety of the solutions will be produced, including breather–breather interactions, higher-order rogue waves and semi-rational solutions.</div></div>","PeriodicalId":19513,"journal":{"name":"Optik","volume":"316 ","pages":"Article 172064"},"PeriodicalIF":3.1000,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Breather–breather interactions, rational and semi-rational solutions of an integrable spin system in optical fibers\",\"authors\":\"Qin-Ling Liu , Yan-Nan Zhao , Hui-Qin Hao\",\"doi\":\"10.1016/j.ijleo.2024.172064\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper investigates an integrable spin system (or Heisenberg ferromagnet-type equation or Nurshuak-IIA equation) which is an integrable generalization of the Heisenberg ferromagnet equation that raises from magneto-optical devices. The <span><math><mi>N</mi></math></span>-fold Darboux transformation of the Nurshuak-IIA equation will be constructed. With the selection of several parameters, a variety of the solutions will be produced, including breather–breather interactions, higher-order rogue waves and semi-rational solutions.</div></div>\",\"PeriodicalId\":19513,\"journal\":{\"name\":\"Optik\",\"volume\":\"316 \",\"pages\":\"Article 172064\"},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2024-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optik\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0030402624004637\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optik","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0030402624004637","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
摘要
本文研究一个可积分自旋系统（或海森堡铁磁体型方程或努尔舒亚克-IIA方程），它是海森堡铁磁体方程的可积分广义化，从磁光设备中产生。我们将构建努尔舒亚克-IIA方程的 N 倍达尔布克斯变换。通过选择几个参数，将产生各种解，包括呼吸器-呼吸器相互作用、高阶流氓波和半理性解。
Breather–breather interactions, rational and semi-rational solutions of an integrable spin system in optical fibers
This paper investigates an integrable spin system (or Heisenberg ferromagnet-type equation or Nurshuak-IIA equation) which is an integrable generalization of the Heisenberg ferromagnet equation that raises from magneto-optical devices. The -fold Darboux transformation of the Nurshuak-IIA equation will be constructed. With the selection of several parameters, a variety of the solutions will be produced, including breather–breather interactions, higher-order rogue waves and semi-rational solutions.
期刊介绍：
Optik publishes articles on all subjects related to light and electron optics and offers a survey on the state of research and technical development within the following fields:
Optics:
-Optics design, geometrical and beam optics, wave optics-
Optical and micro-optical components, diffractive optics, devices and systems-
Photoelectric and optoelectronic devices-
Optical properties of materials, nonlinear optics, wave propagation and transmission in homogeneous and inhomogeneous materials-
Information optics, image formation and processing, holographic techniques, microscopes and spectrometer techniques, and image analysis-
Optical testing and measuring techniques-
Optical communication and computing-
Physiological optics-
As well as other related topics.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
