{"title":"底部不均匀情况下新的扩展KdV方程","authors":"P. Rozmej, A. Karczewska","doi":"10.12921/CMST.2018.0000057","DOIUrl":null,"url":null,"abstract":"The consistent derivation of the extended KdV equation for an uneven bottom for the case of α = O(β) and δ = O(β) is presented. This is the only one case when second order KdV type nonlinear wave equation can be derived for arbitrary bounded bottom function.","PeriodicalId":10561,"journal":{"name":"computational methods in science and technology","volume":"12 1","pages":"221-225"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The New Extended KdV Equation for the Case of an Uneven Bottom\",\"authors\":\"P. Rozmej, A. Karczewska\",\"doi\":\"10.12921/CMST.2018.0000057\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The consistent derivation of the extended KdV equation for an uneven bottom for the case of α = O(β) and δ = O(β) is presented. This is the only one case when second order KdV type nonlinear wave equation can be derived for arbitrary bounded bottom function.\",\"PeriodicalId\":10561,\"journal\":{\"name\":\"computational methods in science and technology\",\"volume\":\"12 1\",\"pages\":\"221-225\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"computational methods in science and technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12921/CMST.2018.0000057\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"computational methods in science and technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12921/CMST.2018.0000057","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The New Extended KdV Equation for the Case of an Uneven Bottom
The consistent derivation of the extended KdV equation for an uneven bottom for the case of α = O(β) and δ = O(β) is presented. This is the only one case when second order KdV type nonlinear wave equation can be derived for arbitrary bounded bottom function.
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