正弦戈登方程扭结的微扰理论

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI:10.1103/physreve.62.8842

Tang, Wang

{"title":"正弦戈登方程扭结的微扰理论","authors":"Tang, Wang","doi":"10.1103/physreve.62.8842","DOIUrl":null,"url":null,"abstract":"A singular perturbation theory is developed to investigate the kink propagating in systems governed by the sine-Gordon equation with perturbations. The outstanding characteristic of the present theory lies in that the dynamic equation and the dispersive wave as well as the \"translation mode\" are consistently determined in a natural manner, involving no sophisticated derivations pertaining to the inverse scattering transform. A distinct and strict linearization for the subject is introduced. Some notable cases are reformulated by the theory.","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8842-5"},"PeriodicalIF":0.0000,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8842","citationCount":"8","resultStr":"{\"title\":\"Perturbation theory for the kink of the sine-gordon equation\",\"authors\":\"Tang, Wang\",\"doi\":\"10.1103/physreve.62.8842\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A singular perturbation theory is developed to investigate the kink propagating in systems governed by the sine-Gordon equation with perturbations. The outstanding characteristic of the present theory lies in that the dynamic equation and the dispersive wave as well as the \\\"translation mode\\\" are consistently determined in a natural manner, involving no sophisticated derivations pertaining to the inverse scattering transform. A distinct and strict linearization for the subject is introduced. Some notable cases are reformulated by the theory.\",\"PeriodicalId\":20079,\"journal\":{\"name\":\"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics\",\"volume\":\"62 6 Pt B\",\"pages\":\"8842-5\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1103/physreve.62.8842\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1103/physreve.62.8842\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/physreve.62.8842","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 8

摘要

建立了奇异摄动理论，研究了带摄动的正弦戈登方程系统中的扭结传播。本理论的突出特点在于，动力学方程和色散波以及“平移模式”都以自然的方式一致地确定，不涉及有关逆散射变换的复杂推导。本文介绍了一种独特而严格的线性化方法。一些值得注意的案例被该理论重新表述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Perturbation theory for the kink of the sine-gordon equation

A singular perturbation theory is developed to investigate the kink propagating in systems governed by the sine-Gordon equation with perturbations. The outstanding characteristic of the present theory lies in that the dynamic equation and the dispersive wave as well as the "translation mode" are consistently determined in a natural manner, involving no sophisticated derivations pertaining to the inverse scattering transform. A distinct and strict linearization for the subject is introduced. Some notable cases are reformulated by the theory.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

自引率

0.00%

发文量