{"title":"The Calogero–Moser derivative nonlinear Schrödinger equation","authors":"Patrick Gérard, Enno Lenzmann","doi":"10.1002/cpa.22203","DOIUrl":null,"url":null,"abstract":"<p>We study the Calogero–Moser derivative nonlinear Schrödinger NLS equation\n\n </p>","PeriodicalId":3,"journal":{"name":"ACS Applied Electronic Materials","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/cpa.22203","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Electronic Materials","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/cpa.22203","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
卡洛吉罗-莫泽导数非线性薛定谔方程
我们研究了在哈代-索博廖夫空间(Hardy-Sobolev space)上用合适的......通过对这一临界方程使用拉克斯对结构,我们证明了该方程的全局好求性,以及具有亚临界或临界质量的初始数据。此外,我们还证明了地面状态的唯一性,并对所有行进孤波进行了分类。最后,我们详细研究了多孤子解,并证明它们在以下强意义上表现出能量级联,即对于每 .
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