{"title":"Rangwala-Rao方程的精确孤波解","authors":"Xiaohua Liu","doi":"10.1109/URKE.2012.6319538","DOIUrl":null,"url":null,"abstract":"By applying the theory of planar dynamical systems, we investigate the existence of bell and anti-bell solitary wave solutions, kink and anti-kink solitary wave solutions, periodic wave solutions to the Rangwala-Rao equation. With the undetermined coefficient method, we obtain the representations to three exact explicit solitary wave solutions.","PeriodicalId":277189,"journal":{"name":"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Exact solitary wave solutions of the Rangwala-Rao equation\",\"authors\":\"Xiaohua Liu\",\"doi\":\"10.1109/URKE.2012.6319538\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By applying the theory of planar dynamical systems, we investigate the existence of bell and anti-bell solitary wave solutions, kink and anti-kink solitary wave solutions, periodic wave solutions to the Rangwala-Rao equation. With the undetermined coefficient method, we obtain the representations to three exact explicit solitary wave solutions.\",\"PeriodicalId\":277189,\"journal\":{\"name\":\"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/URKE.2012.6319538\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/URKE.2012.6319538","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exact solitary wave solutions of the Rangwala-Rao equation
By applying the theory of planar dynamical systems, we investigate the existence of bell and anti-bell solitary wave solutions, kink and anti-kink solitary wave solutions, periodic wave solutions to the Rangwala-Rao equation. With the undetermined coefficient method, we obtain the representations to three exact explicit solitary wave solutions.