{"title":"声的非线性行为及其在孤子形成中的应用","authors":"A. Nakamura","doi":"10.1109/ULTSYM.1988.49401","DOIUrl":null,"url":null,"abstract":"Nonlinear propagation in a thin fiber of fused silica is analyzed. In this case the waveform of finite amplitude sound is affected by both velocity dispersion and nonlinear distortion. A soliton is formed under the condition of balance between nonlinear distortion and change of waveform due to velocity dispersion. The soliton formation process is investigated by computer simulation, applied to both hyperbolic and sinusoidal waveforms. The characteristics of sinusoidal and hyperbolic soliton formation are compared.<<ETX>>","PeriodicalId":263198,"journal":{"name":"IEEE 1988 Ultrasonics Symposium Proceedings.","volume":"6 7","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Nonlinear behavior of sound and its application to soliton formation\",\"authors\":\"A. Nakamura\",\"doi\":\"10.1109/ULTSYM.1988.49401\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nonlinear propagation in a thin fiber of fused silica is analyzed. In this case the waveform of finite amplitude sound is affected by both velocity dispersion and nonlinear distortion. A soliton is formed under the condition of balance between nonlinear distortion and change of waveform due to velocity dispersion. The soliton formation process is investigated by computer simulation, applied to both hyperbolic and sinusoidal waveforms. The characteristics of sinusoidal and hyperbolic soliton formation are compared.<<ETX>>\",\"PeriodicalId\":263198,\"journal\":{\"name\":\"IEEE 1988 Ultrasonics Symposium Proceedings.\",\"volume\":\"6 7\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-10-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE 1988 Ultrasonics Symposium Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ULTSYM.1988.49401\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE 1988 Ultrasonics Symposium Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ULTSYM.1988.49401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear behavior of sound and its application to soliton formation
Nonlinear propagation in a thin fiber of fused silica is analyzed. In this case the waveform of finite amplitude sound is affected by both velocity dispersion and nonlinear distortion. A soliton is formed under the condition of balance between nonlinear distortion and change of waveform due to velocity dispersion. The soliton formation process is investigated by computer simulation, applied to both hyperbolic and sinusoidal waveforms. The characteristics of sinusoidal and hyperbolic soliton formation are compared.<>
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