Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation

被引：0

作者：

刘希忠 ^{[1
]}

俞军 ^{[1
]}

楼智美 ^{[1
]}

曹巧君 ^{[1
]}

机构：

[1] Institute of Nonlinear Science, Shaoxing University

来源：

Communications in Theoretical Physics | 2018年 / 69卷 / 06期

基金：

中国国家自然科学基金;

关键词：

generalized Kaup-Kupershmidt equation; residual symmetry; consistent Riccati expansion;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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.

引用

页码：625 / 630

页数：6