{"title":"强色散管理下孤子传播的厄米-高斯展开","authors":"T. Lakoba, D. Kaup","doi":"10.1364/nlgw.1998.nsnps.p6","DOIUrl":null,"url":null,"abstract":"We develop a theory of soliton propagation in the regime of strong dispersion management, based on the expansion over the Hermite-Gaussian functions. We present, in explicit form, (i) the conditions for stationary propagation of the soliton, (ii) the soliton’s shape, and (iii) the perturbation theory for the DM soliton.","PeriodicalId":262564,"journal":{"name":"Nonlinear Guided Waves and Their Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Hermite-Gaussian expansion for the soliton propagation in the regime of strong dispersion management\",\"authors\":\"T. Lakoba, D. Kaup\",\"doi\":\"10.1364/nlgw.1998.nsnps.p6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We develop a theory of soliton propagation in the regime of strong dispersion management, based on the expansion over the Hermite-Gaussian functions. We present, in explicit form, (i) the conditions for stationary propagation of the soliton, (ii) the soliton’s shape, and (iii) the perturbation theory for the DM soliton.\",\"PeriodicalId\":262564,\"journal\":{\"name\":\"Nonlinear Guided Waves and Their Applications\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Guided Waves and Their Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/nlgw.1998.nsnps.p6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Guided Waves and Their Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/nlgw.1998.nsnps.p6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Hermite-Gaussian expansion for the soliton propagation in the regime of strong dispersion management
We develop a theory of soliton propagation in the regime of strong dispersion management, based on the expansion over the Hermite-Gaussian functions. We present, in explicit form, (i) the conditions for stationary propagation of the soliton, (ii) the soliton’s shape, and (iii) the perturbation theory for the DM soliton.
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