文献类型：期刊文献

中文题名：Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation

英文题名：Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation

作者：Liu, Xi-Zhong[1];Yu, Jun[1];Lou, Zhi-Mei[1];Cao, Qiao-Jun[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2018

卷号：69

期号：6

起止页码：625

中文期刊名：理论物理通讯：英文版

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000436071100001)、CSTPCD、、Scopus(收录号：2-s2.0-85049810072)、WOS、CSCD2017_2018、CSCD

基金：Supported by the National Natural Science Foundation of China under Grant Nos. 11405110, 11275129, 11472177, and the Natural Science Foundation of Zhejiang Province of China under Grant Nos. LY18A050001 and LQ13A050002

语种：英文

中文关键词：Riccati;点对称;方程;剩余;对称方法;使用标准;相互作用;局部性

外文关键词：generalized Kaup-Kupershmidt equation; residual symmetry; consistent Riccati expansion

中文摘要：The residual symmetry of the generalized Kaup-Kupershmidt(gKK) equation is obtained from the truncated Painlevé expansion and localized to a Lie point symmetry in a prolonged system. New symmetry reduction solutions of the prolonged system are given by using the standard Lie symmetry method. Furthermore, the g KK equation is proved to integrable in the sense of owning consistent Riccati expansion and some new B¨acklund transformations are given based on this property, from which interaction solutions between soliton and periodic waves are given.

外文摘要：The residual symmetry of the generalized Kaup-Kupershmidt (gKK) equation is obtained from the truncated Painleve expansion and localized to a Lie point symmetry in a prolonged system. New symmetry reduction solutions of the prolonged system are given by using the standard Lie symmetry method. Furthermore, the gKK equation is proved to integrable in the sense of owning consistent Riccati expansion and some new Backlund transformations are given based on this property, from which interaction solutions between soliton and periodic waves are given.