Two-Component Wadati--Konno--Ichikawa Equation and Its Symmetry Reductions
QU Chang-Zheng1 , YAO Ruo-Xia1,2 , LI Zhi-Bin2
1 Centre for Nonlinear Studies, Northwest University, Xi’an 710069
2 Department of Computer Science, East China Normal University, Shanghai 200062
Two-Component Wadati--Konno--Ichikawa Equation and Its Symmetry Reductions
QU Chang-Zheng1 ;YAO Ruo-Xia1,2 ;LI Zhi-Bin2
1 Centre for Nonlinear Studies, Northwest University, Xi’an 710069
2 Department of Computer Science, East China Normal University, Shanghai 200062
关键词 ：
02.40.-k ,
03.40.Kf ,
02.30.Jr ,
04.20.Jb
Abstract ： It is shown that two-component Wadati--Konno--Ichikawa (WKI) equation, i.e.~a generalization of the well-known WKI equation, is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg--de Vries flow. Group-invariant solutions of the two-component WKI equation which corresponds to an optimal system of its Lie point symmetry groups are obtained, and its similarity reductions to systems of ordinary differential equations are also given.
Key words ：
02.40.-k
03.40.Kf
02.30.Jr
04.20.Jb
出版日期: 2004-11-01
引用本文:
QU Chang-Zheng;YAO Ruo-Xia;LI Zhi-Bin. Two-Component Wadati--Konno--Ichikawa Equation and Its Symmetry Reductions[J]. 中国物理快报, 2004, 21(11): 2077-2080.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2004/V21/I11/2077
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2004, Vol. 21 
