{"title":"求一类波动方程正则变量的积分因子","authors":"S. Giles","doi":"10.1109/APS.1993.385374","DOIUrl":null,"url":null,"abstract":"A method to facilitate the determination of canonical variables of the one-dimensional wave equation in nonhomogeneous media is presented. In order to solve the second-order hyperbolic partial differential equation a transformation from the independent real variables x and y to two canonical variables is used. A method is presented which shows a way of determining a solution when the wave-speed function /spl sigma/(x,y) meets certain requirements on continuity, and the function u(x,y) meets certain integrability requirements. The method depends on finding an integrating factor, f(x,y).<<ETX>>","PeriodicalId":138141,"journal":{"name":"Proceedings of IEEE Antennas and Propagation Society International Symposium","volume":"79 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An integrating factor to find the canonical variables of a class of wave equations\",\"authors\":\"S. Giles\",\"doi\":\"10.1109/APS.1993.385374\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method to facilitate the determination of canonical variables of the one-dimensional wave equation in nonhomogeneous media is presented. In order to solve the second-order hyperbolic partial differential equation a transformation from the independent real variables x and y to two canonical variables is used. A method is presented which shows a way of determining a solution when the wave-speed function /spl sigma/(x,y) meets certain requirements on continuity, and the function u(x,y) meets certain integrability requirements. The method depends on finding an integrating factor, f(x,y).<<ETX>>\",\"PeriodicalId\":138141,\"journal\":{\"name\":\"Proceedings of IEEE Antennas and Propagation Society International Symposium\",\"volume\":\"79 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of IEEE Antennas and Propagation Society International Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APS.1993.385374\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE Antennas and Propagation Society International Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APS.1993.385374","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An integrating factor to find the canonical variables of a class of wave equations
A method to facilitate the determination of canonical variables of the one-dimensional wave equation in nonhomogeneous media is presented. In order to solve the second-order hyperbolic partial differential equation a transformation from the independent real variables x and y to two canonical variables is used. A method is presented which shows a way of determining a solution when the wave-speed function /spl sigma/(x,y) meets certain requirements on continuity, and the function u(x,y) meets certain integrability requirements. The method depends on finding an integrating factor, f(x,y).<>
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