{"title":"非厄米晶格中的时间周期极值波","authors":"Semiha Tombuloğlu","doi":"10.1007/s10773-025-06004-7","DOIUrl":null,"url":null,"abstract":"<div><p>Periodic extreme waves, characterized by their recurrent and exceptionally high amplitudes, have gained significant attention in various scientific disciplines. In this study, we consider a nonreciprocal DNLS equation with position-dependent nonlinear interaction strength. We show that time-periodic extreme waves can occur in a non-Hermitian lattice. We also demonstrate that long-living discrete extreme waves is possible when considering proper position-dependent nonlinear interaction strength in a non-Hermitian system.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time Periodic Extreme Waves in a Non-Hermitian Lattice\",\"authors\":\"Semiha Tombuloğlu\",\"doi\":\"10.1007/s10773-025-06004-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Periodic extreme waves, characterized by their recurrent and exceptionally high amplitudes, have gained significant attention in various scientific disciplines. In this study, we consider a nonreciprocal DNLS equation with position-dependent nonlinear interaction strength. We show that time-periodic extreme waves can occur in a non-Hermitian lattice. We also demonstrate that long-living discrete extreme waves is possible when considering proper position-dependent nonlinear interaction strength in a non-Hermitian system.</p></div>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":\"64 5\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-05-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10773-025-06004-7\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-025-06004-7","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Time Periodic Extreme Waves in a Non-Hermitian Lattice
Periodic extreme waves, characterized by their recurrent and exceptionally high amplitudes, have gained significant attention in various scientific disciplines. In this study, we consider a nonreciprocal DNLS equation with position-dependent nonlinear interaction strength. We show that time-periodic extreme waves can occur in a non-Hermitian lattice. We also demonstrate that long-living discrete extreme waves is possible when considering proper position-dependent nonlinear interaction strength in a non-Hermitian system.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.