期刊
COMMUNICATIONS IN THEORETICAL PHYSICS
卷 69, 期 6, 页码 625-630出版社
IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/69/6/625
关键词
generalized Kaup-Kupershmidt equation; residual symmetry; consistent Riccati expansion
资金
- National Natural Science Foundation of China [11405110, 11275129, 11472177]
- Natural Science Foundation of Zhejiang Province of China [LY18A050001, LQ13A050002]
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.
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