| On Geometric Realization of the General Manakov System |
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| 作者姓名： | Qing DING Shiping ZHONG |
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| 作者单位： | 1. Department of Mathematics, Wenzhou University;2. School of Mathematical Sciences, Fudan University;3. School of Mathematics and Computer Sciences, Gannan Normal University |
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| 基金项目： | supported by the National Natural Science Foundation of China (Nos. 12071080,12141104)；;the Science Technology Project of Jiangxi Educational Committee (No. GJJ2201202)；;the Natural Science Foundation of Jiangxi Province (Nos. 20212BAB211005, 20232BAB201006)； |
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| 摘 要： | It is well-known that the general Manakov system is a 2-components nonlinear Schr¨odinger equation with 4 nonzero real parameters. The analytic property of the general Manakov system has been well-understood though it looks complicated. This paper devotes to exploring geometric properties of this system via the prescribed curvature representation in the category of Yang-Mills’ theory. Three models of moving curves evolving in the symmetric Lie algebras u(2, 1) = kα ⊕ mα(α =...
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| 收稿时间： | 2023/4/14 0:00:00 |
On Geometric Realization of the General Manakov System* |
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| Qing DING,Shiping ZHONG.On Geometric Realization of the General Manakov System[J].Chinese Annals of Mathematics,Series B,2023,44(5):753-764. |
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| Authors: | Qing DING Shiping ZHONG |
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| Institution: | Department of Mathematics, Wenzhou University, Wenzhou 325035, Zhejiang, China; School of Mathematical Sciences, Fudan University, Shanghai 200433, China.; School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou 341000, Jiangxi,China. |
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| Abstract: | |
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| Keywords: | Manakov system Geometric realization Prescribed curvature representation |
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