{"title":"库拉雷-II方程周期性背景上的无规则波","authors":"Yadong Zhong, Yi Zhang","doi":"10.1016/j.wavemoti.2024.103310","DOIUrl":null,"url":null,"abstract":"<div><p>We derive the rogue wave solutions of the Kuralay-II equation by applying the Darboux transformation method with the Lax pair on the periodic background. These solutions are represented using Jacobian elliptic functions: dnoidal and cnoidal. The rogue wave solutions can be obtained on the periodic background while the dnoidal travelling periodic wave and cnoidal travelling periodic wave are modulationally unstable with respect to the long-wave perturbations.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"128 ","pages":"Article 103310"},"PeriodicalIF":2.1000,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rogue waves on the periodic background of the Kuralay-II equation\",\"authors\":\"Yadong Zhong, Yi Zhang\",\"doi\":\"10.1016/j.wavemoti.2024.103310\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We derive the rogue wave solutions of the Kuralay-II equation by applying the Darboux transformation method with the Lax pair on the periodic background. These solutions are represented using Jacobian elliptic functions: dnoidal and cnoidal. The rogue wave solutions can be obtained on the periodic background while the dnoidal travelling periodic wave and cnoidal travelling periodic wave are modulationally unstable with respect to the long-wave perturbations.</p></div>\",\"PeriodicalId\":49367,\"journal\":{\"name\":\"Wave Motion\",\"volume\":\"128 \",\"pages\":\"Article 103310\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-03-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Wave Motion\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0165212524000404\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ACOUSTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wave Motion","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165212524000404","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ACOUSTICS","Score":null,"Total":0}
Rogue waves on the periodic background of the Kuralay-II equation
We derive the rogue wave solutions of the Kuralay-II equation by applying the Darboux transformation method with the Lax pair on the periodic background. These solutions are represented using Jacobian elliptic functions: dnoidal and cnoidal. The rogue wave solutions can be obtained on the periodic background while the dnoidal travelling periodic wave and cnoidal travelling periodic wave are modulationally unstable with respect to the long-wave perturbations.
期刊介绍:
Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics.
The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.