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Higher-Dimensional Integrable Systems Arising from Motions of Curves on S^2(R) and S^3(R)
作者姓名:QU Chang-Zheng  ;LI Yan-Yan
作者单位:[1]Center for Nonlinear Studies, Northwest University, Xi'an 710069, China [2]Department of Mathematics, Northwest University, Xi'an 710069, China
基金项目:The project supported by National Natural Science Foundation of China under Grant No. 10671156 and the Program for New Century Excellent Talents in Universities under Grant No. NCET-04-0968
摘    要:We show that higher-dimensional integrable systems including the (2+1)-dimensional generalized sine-Gordon equation and the (2+1)-dimensional complex mKdV equation are associated with motions of surfaces induced by endowing with an extra space variable to the motions of curves on S^2(R) and S^3(R).

关 键 词:高维数可积分系统  曲线运动  复合体  数学

Higher-Dimensional Integrable Systems Arising from Motions of Curves on S^2(R) and S^3(R)
QU Chang-Zheng,;LI Yan-Yan.Higher-Dimensional Integrable Systems Arising from Motions of Curves on S^2(R) and S^3(R)[J].Communications in Theoretical Physics,2008,50(10):841-843.
Authors:QU Chang-Zheng LI Yan-Yan
Abstract:higher-dimensional integrable system, motion of curve, sine-Gordon equation, complex mKdV equation
Keywords:higher-dimensional integrable system  motion of curve  sine-Gordon equation  complex mKdV equation
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