摘要
利用李点对称群理论,研究了双曲型仿射不变流的对称群,构造了几何流对应的最优系统,并利用最优系统对方程进行约化,讨论了群不变解.
Based on the classical symmetry method, the group invariant solutions of a hyperbolic-type affine invariant curve flow are investigated. The symmetry group is studied and its one-dimensional optimal system is determined. A corresponding optimal system is found and some group invariant solutions associated with the reduced equation are also obtained.
出处
《宁波大学学报（理工版）》
CAS
2017年第3期36-41,共6页
Journal of Ningbo University：Natural Science and Engineering Edition
基金
国家自然科学基金(11201249)
浙江省自然科学基金(LY16A010002)
关键词
双曲型仿射不变曲线流
李点对称群
最优系统
对称约化
群不变解
a hyperbolic-type affine invariant curve flow
Lie group of symmetry
optimal system
symmetry reduction
group-invariant solutions
