{"title":"广义随机KdV方程的类Jacobi椭圆函数解","authors":"Lu Yuan-yuan","doi":"10.1109/ICSSEM.2012.6340796","DOIUrl":null,"url":null,"abstract":"By extended mapping method and Hermite transformation, we study the generalized stochastic KdV equation, and obtain some families of stochastic exact solutions, which include Jacobi elliptic function-like, combined Jacobi elliptic function-like, soliton-like, kink-bell soliton-like and triangular function-like solutions.","PeriodicalId":115037,"journal":{"name":"2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization","volume":"61 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Jacobi elliptic function-like solutions for generalized stochastic KdV equation\",\"authors\":\"Lu Yuan-yuan\",\"doi\":\"10.1109/ICSSEM.2012.6340796\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By extended mapping method and Hermite transformation, we study the generalized stochastic KdV equation, and obtain some families of stochastic exact solutions, which include Jacobi elliptic function-like, combined Jacobi elliptic function-like, soliton-like, kink-bell soliton-like and triangular function-like solutions.\",\"PeriodicalId\":115037,\"journal\":{\"name\":\"2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization\",\"volume\":\"61 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSSEM.2012.6340796\",\"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 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSSEM.2012.6340796","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Jacobi elliptic function-like solutions for generalized stochastic KdV equation
By extended mapping method and Hermite transformation, we study the generalized stochastic KdV equation, and obtain some families of stochastic exact solutions, which include Jacobi elliptic function-like, combined Jacobi elliptic function-like, soliton-like, kink-bell soliton-like and triangular function-like solutions.