| The noncommutative KdV equation and its para-Khler structure |
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| 作者姓名： | DING Qing HE ZhiZhou |
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| 作者单位： | School of Mathematical Sciences,Fudan University |
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| 基金项目： | supported by National Natural Science Foundation of China (Grant No.11271073);Doctoral Fund of Ministry of Education of China (Grant No.20110071110002) |
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| 摘 要： | We prove that the noncommutative(n×n)-matrix KdV equation is exactly a reduction of the geometric KdV flows from R to the symmetric para-Grassmannian manifold G2n,n=SL(2n,R)/SL(n,R)×SL(n,R)and it can also be realized geometrically as a motion of Sym-Pohlmeyer curves in the symmetric Lie algebra sl(2n,R)with initial data being suitably restricted.This gives a para-geometric characterization of the noncommutative matrix KdV equation.
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| 关 键 词： | para-Khler structure noncommutative KdV geometric realization |
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