Higher-Dimensional Integrable Systems Arising from Motions of Curves on S^2(R) and S^3(R) |
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作者姓名: | QU Chang-Zheng ;LI Yan-Yan |
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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 |
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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 |
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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).
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关 键 词: | 高维数可积分系统 曲线运动 复合体 数学 |
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