双曲型仿射不变流的最优系统及群不变解  

Optimal system and group invariant solutions of a hyperbolic-type affine invariant flow

作　　者：沃维丰[1] 杨淑心 黄晴[2] 

机构地区：[1]宁波大学理学院,浙江宁波315211 [2]西北大学数学学院,陕西西安710217

出　　处：《宁波大学学报（理工版）》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)

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.

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 

分 类 号：O175.27[理学—数学]