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Two Types of Expanding Lie Algebra and New Expanding Integrable Systems |
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| Authors: | DONG Huan-He WANG Hui YANG Ji-Ming |
| Affiliation: | 1.College of Information Science and Engineering, Shandong University of;Science and Technology, Qingdao 266510, China;2.Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Abstract: | From a new Lie algebra proposed by Zhang, two expanding Lie algebras and its corresponding loop algebras are obtained. Two expanding integrable systems are produced with the help of the generalized zero curvature equation. One of them has complex Hamiltion structure with the help of generalized Tu formula (GTM). |
| Keywords: | Lie algebra generalized Tu formula Hamiltonian structures Liouville integrable |
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