{"title":"Symmetry reduced and exact non-traveling wave solutions of the (2+1)-D GSWW equation","authors":"Guang-Can Xiao, Chuang Zheng, Daquan Xian","doi":"10.1109/ICIST.2011.5765138","DOIUrl":null,"url":null,"abstract":"In this paper, the (2+1)-dimensional generalized shallow water wave equation (GSWW) is reduced to a (1+1)-dimensional PDE with constant coefficients by means of the group method. Moreover, we determine some new exact non-traveling solutions with arbitrary function of the GSWW equation by means of the homoclinic test technique, Hirota method and auxiliary equation method, etc.","PeriodicalId":6408,"journal":{"name":"2009 International Conference on Environmental Science and Information Application Technology","volume":"133 1","pages":"986-990"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Environmental Science and Information Application Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIST.2011.5765138","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the (2+1)-dimensional generalized shallow water wave equation (GSWW) is reduced to a (1+1)-dimensional PDE with constant coefficients by means of the group method. Moreover, we determine some new exact non-traveling solutions with arbitrary function of the GSWW equation by means of the homoclinic test technique, Hirota method and auxiliary equation method, etc.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
