{"title":"变系数KdV方程的新bäcklund变换及精确解","authors":"Yan Zhen-ya, Zhang Hong-qing","doi":"10.1088/1004-423X/8/12/002","DOIUrl":null,"url":null,"abstract":"In this paper, with the aid of Lax pairs, a new Backlund transformation for the variable coefficient KdV equation is found. Based on the Backlund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.","PeriodicalId":188146,"journal":{"name":"Acta Physica Sinica (overseas Edition)","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"New bäcklund transformation and exact solutions for variable coefficient KdV equation\",\"authors\":\"Yan Zhen-ya, Zhang Hong-qing\",\"doi\":\"10.1088/1004-423X/8/12/002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, with the aid of Lax pairs, a new Backlund transformation for the variable coefficient KdV equation is found. Based on the Backlund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.\",\"PeriodicalId\":188146,\"journal\":{\"name\":\"Acta Physica Sinica (overseas Edition)\",\"volume\":\"46 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Physica Sinica (overseas Edition)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1004-423X/8/12/002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Sinica (overseas Edition)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1004-423X/8/12/002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New bäcklund transformation and exact solutions for variable coefficient KdV equation
In this paper, with the aid of Lax pairs, a new Backlund transformation for the variable coefficient KdV equation is found. Based on the Backlund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.
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