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 betwee...
【英文摘要】
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 betwee...
【基金】
Supported by the National Natural Science Foundation of China under Grant Nos.11405110,11275129,11472177;
the Natural Science Foundation of Zhejiang Province of China under Grant Nos.LY18A050001 and LQ13A050002
【更新日期】
2018-06-25
【分类号】
O175
【正文快照】
1 Introductionwith arbitrary constants a and b.In particular,by tak-Nonlinear wave equations in mathematical physicsing a=1/10,b=-5 in Eq.(1),we get the Kaup-play a major role in various fields,such as plasma physics,Kupershmidt(KK)equationfluid mechanics
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