Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation
Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation
复制标题
广义Kaup-Kupershmidt方程的残差对称性约简和一致Riccati展开式
DOI：
10.1088/0253-6102/69/6/625
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发表时间：
2018-06-01
影响因子：
3.1
通讯作者：
Cao, Qiao-Jun
中科院分区：
文献类型：
--
作者：
Liu, Xi-Zhong;Yu, Jun;Cao, Qiao-Jun
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.
