{"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}
引用次数: 2
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.