{"title":"具有非线性电容的离散非线性传输线中的扭结、孤子和冲击的精确解析解","authors":"Eugene Kogan","doi":"10.1002/pssb.202400140","DOIUrl":null,"url":null,"abstract":"Discrete transmission lines constructed from ideal linear inductors and nonlinear capacitors (and possibly resistors) are studied. The localized travelling waves in the lossless transmission lines are the kinks and the solitons, the localized travelling waves in the lossy transmission lines are the dissipative kinks and the shocks. The speeds and profiles of all these waves are calculated.","PeriodicalId":20406,"journal":{"name":"Physica Status Solidi B-basic Solid State Physics","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exact Analytical Solutions for the Kinks, the Solitons and the Shocks in Discrete Nonlinear Transmission Line with Nonlinear Capacitance\",\"authors\":\"Eugene Kogan\",\"doi\":\"10.1002/pssb.202400140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Discrete transmission lines constructed from ideal linear inductors and nonlinear capacitors (and possibly resistors) are studied. The localized travelling waves in the lossless transmission lines are the kinks and the solitons, the localized travelling waves in the lossy transmission lines are the dissipative kinks and the shocks. The speeds and profiles of all these waves are calculated.\",\"PeriodicalId\":20406,\"journal\":{\"name\":\"Physica Status Solidi B-basic Solid State Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica Status Solidi B-basic Solid State Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1002/pssb.202400140\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica Status Solidi B-basic Solid State Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1002/pssb.202400140","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
Exact Analytical Solutions for the Kinks, the Solitons and the Shocks in Discrete Nonlinear Transmission Line with Nonlinear Capacitance
Discrete transmission lines constructed from ideal linear inductors and nonlinear capacitors (and possibly resistors) are studied. The localized travelling waves in the lossless transmission lines are the kinks and the solitons, the localized travelling waves in the lossy transmission lines are the dissipative kinks and the shocks. The speeds and profiles of all these waves are calculated.
期刊介绍:
physica status solidi is devoted to the thorough peer review and the rapid publication of new and important results in all fields of solid state and materials physics, from basic science to applications and devices. Being among the largest and most important international publications, the pss journals publish review articles, letters and original work as well as special issues and conference contributions.
physica status solidi b – basic solid state physics is devoted to topics such as theoretical and experimental investigations of the atomistic and electronic structure of solids in general, phase transitions, electronic and optical properties of low-dimensional, nano-scale, strongly correlated, or disordered systems, superconductivity, magnetism, ferroelectricity etc.