{"title":"修正非线性薛定谔方程超椭圆解的最大振幅","authors":"Otis C. Wright","doi":"10.1007/s00332-024-10068-w","DOIUrl":null,"url":null,"abstract":"<p>A simple formula is proven for the maximal amplitudes of <i>N</i>-phase hyperelliptic solutions of the modified nonlinear Schrödinger equation. The simple formula for the maximal amplitude depends only on the roots of an invariant polynomial.\n</p>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation\",\"authors\":\"Otis C. Wright\",\"doi\":\"10.1007/s00332-024-10068-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A simple formula is proven for the maximal amplitudes of <i>N</i>-phase hyperelliptic solutions of the modified nonlinear Schrödinger equation. The simple formula for the maximal amplitude depends only on the roots of an invariant polynomial.\\n</p>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00332-024-10068-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00332-024-10068-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
引用次数: 0
摘要
证明了修正非线性薛定谔方程 N 相超椭圆解的最大振幅的简单公式。最大振幅的简单公式只取决于不变多项式的根。
Maximal Amplitudes of Hyperelliptic Solutions of the Modified Nonlinear Schrödinger Equation
A simple formula is proven for the maximal amplitudes of N-phase hyperelliptic solutions of the modified nonlinear Schrödinger equation. The simple formula for the maximal amplitude depends only on the roots of an invariant polynomial.
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