{"title":"非线性Schrödinger方程直接散射问题的数值解","authors":"L. Fermo, C. Mee, S. Seatzu","doi":"10.1109/TIWDC.2015.7323323","DOIUrl":null,"url":null,"abstract":"We illustrate a numerical method to compute the scattering data for the Zhakarov-Shabat system associated to the initial value problem for the nonlinear Schrödinger equation. This numerical method which, to our best knowledge, is the first method proposed to compute all scattering data under general assumptions, is based on the version of the Inverse Scattering Transform method proposed by one of the authors.","PeriodicalId":126687,"journal":{"name":"2015 Tyrrhenian International Workshop on Digital Communications (TIWDC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Numerical solution of the direct scattering problem for the nonlinear Schrödinger equation\",\"authors\":\"L. Fermo, C. Mee, S. Seatzu\",\"doi\":\"10.1109/TIWDC.2015.7323323\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We illustrate a numerical method to compute the scattering data for the Zhakarov-Shabat system associated to the initial value problem for the nonlinear Schrödinger equation. This numerical method which, to our best knowledge, is the first method proposed to compute all scattering data under general assumptions, is based on the version of the Inverse Scattering Transform method proposed by one of the authors.\",\"PeriodicalId\":126687,\"journal\":{\"name\":\"2015 Tyrrhenian International Workshop on Digital Communications (TIWDC)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Tyrrhenian International Workshop on Digital Communications (TIWDC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TIWDC.2015.7323323\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Tyrrhenian International Workshop on Digital Communications (TIWDC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TIWDC.2015.7323323","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical solution of the direct scattering problem for the nonlinear Schrödinger equation
We illustrate a numerical method to compute the scattering data for the Zhakarov-Shabat system associated to the initial value problem for the nonlinear Schrödinger equation. This numerical method which, to our best knowledge, is the first method proposed to compute all scattering data under general assumptions, is based on the version of the Inverse Scattering Transform method proposed by one of the authors.