{"title":"长程FPUT晶格的相干结构,第一部分:孤波","authors":"Udoh Akpan, J. Douglas Wright","doi":"10.1111/sapm.70119","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>We consider long-range variants of Fermi–Pasta–Ulam–Tsingou lattice and, in particular, allow for particles to interact over arbitrarily long distances. We develop sufficient conditions that allow for the construction of solitary wave solutions.</p></div>","PeriodicalId":51174,"journal":{"name":"Studies in Applied Mathematics","volume":"155 4","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Coherent Structures in Long-Range FPUT Lattices, Part I: Solitary Waves\",\"authors\":\"Udoh Akpan, J. Douglas Wright\",\"doi\":\"10.1111/sapm.70119\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>We consider long-range variants of Fermi–Pasta–Ulam–Tsingou lattice and, in particular, allow for particles to interact over arbitrarily long distances. We develop sufficient conditions that allow for the construction of solitary wave solutions.</p></div>\",\"PeriodicalId\":51174,\"journal\":{\"name\":\"Studies in Applied Mathematics\",\"volume\":\"155 4\",\"pages\":\"\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studies in Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/sapm.70119\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studies in Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/sapm.70119","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Coherent Structures in Long-Range FPUT Lattices, Part I: Solitary Waves
We consider long-range variants of Fermi–Pasta–Ulam–Tsingou lattice and, in particular, allow for particles to interact over arbitrarily long distances. We develop sufficient conditions that allow for the construction of solitary wave solutions.
期刊介绍:
Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.