F. M. Trukhachev, N. V. Gerasimenko, M. M. Vasiliev, O. F. Petrov
{"title":"非线性传输线中的电流孤子","authors":"F. M. Trukhachev, N. V. Gerasimenko, M. M. Vasiliev, O. F. Petrov","doi":"10.3103/S106833562460195X","DOIUrl":null,"url":null,"abstract":"<p>Electric currents arising in a nonlinear transmission line during the propagation of an electromagnetic KdV soliton are analyzed. An analytical expression for calculating the current soliton is obtained. It is shown that it has a classical profile, which in the approximation of small amplitudes is described by the soliton solution of the KdV equation. The voltage profiles between the ends of a section of one of the line conductors are also calculated; they are shown to have the form of symmetric bipolar pulses.</p>","PeriodicalId":503,"journal":{"name":"Bulletin of the Lebedev Physics Institute","volume":"51 12","pages":"576 - 582"},"PeriodicalIF":0.7000,"publicationDate":"2025-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Current Solitons in a Nonlinear Transmission Line\",\"authors\":\"F. M. Trukhachev, N. V. Gerasimenko, M. M. Vasiliev, O. F. Petrov\",\"doi\":\"10.3103/S106833562460195X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Electric currents arising in a nonlinear transmission line during the propagation of an electromagnetic KdV soliton are analyzed. An analytical expression for calculating the current soliton is obtained. It is shown that it has a classical profile, which in the approximation of small amplitudes is described by the soliton solution of the KdV equation. The voltage profiles between the ends of a section of one of the line conductors are also calculated; they are shown to have the form of symmetric bipolar pulses.</p>\",\"PeriodicalId\":503,\"journal\":{\"name\":\"Bulletin of the Lebedev Physics Institute\",\"volume\":\"51 12\",\"pages\":\"576 - 582\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-02-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Lebedev Physics Institute\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S106833562460195X\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Lebedev Physics Institute","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S106833562460195X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Electric currents arising in a nonlinear transmission line during the propagation of an electromagnetic KdV soliton are analyzed. An analytical expression for calculating the current soliton is obtained. It is shown that it has a classical profile, which in the approximation of small amplitudes is described by the soliton solution of the KdV equation. The voltage profiles between the ends of a section of one of the line conductors are also calculated; they are shown to have the form of symmetric bipolar pulses.
期刊介绍：
Bulletin of the Lebedev Physics Institute is an international peer reviewed journal that publishes results of new original experimental and theoretical studies on all topics of physics: theoretical physics; atomic and molecular physics; nuclear physics; optics; lasers; condensed matter; physics of solids; biophysics, and others.
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