{"title":"A Parallel Algorithm for Solving Higher KdV Equations on a Hypercube","authors":"T. Taha","doi":"10.1109/DMCC.1990.555435","DOIUrl":null,"url":null,"abstract":"Taha and Ablowitz derived numerkal schemes by methods related to the inverse scattering bransform (IST) for phy;ically important equations such as the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (MKdV) equations. Experiments have shown that the IST numerical schemes compare very favorably with other numerical methods. In this paper an accurate numerical scheme based on the IST is used to solve non-integrable higher KdV equations, for instance:","PeriodicalId":204431,"journal":{"name":"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.","volume":"194 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DMCC.1990.555435","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Taha and Ablowitz derived numerkal schemes by methods related to the inverse scattering bransform (IST) for phy;ically important equations such as the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (MKdV) equations. Experiments have shown that the IST numerical schemes compare very favorably with other numerical methods. In this paper an accurate numerical scheme based on the IST is used to solve non-integrable higher KdV equations, for instance:
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