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机构地区:[1]Department of Mathematics, Shanghai University, Shanghai 200444, China
出 处:《Chinese Physics B》2007年第3期611-620,共10页中国物理B(英文版)
基 金:Project supported by the National Natural Science Foundation of China (Grant Nos 10371070 and 10547123). Acknowledgments The first author expresses her appreciation to the Soliton Research Team of Shanghai University, China for useful discussion.
摘 要:The trace identity is extended to the general loop algebra. The Hamiltonian structures of the integrable sys- tems concerning vector spectral problems and the multi-component integrable hierarchy can be worked out by using the extended trace identity. As its application, we have obtained the Hamiltonian structures of the Yang hierarchy, the Korteweg-de-Vries (KdV) hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur (M-AKNS) hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur Kaup-Newell (M-AKNS-KN) hierarchy and a new multi-component integrable hierarchy separately.The trace identity is extended to the general loop algebra. The Hamiltonian structures of the integrable sys- tems concerning vector spectral problems and the multi-component integrable hierarchy can be worked out by using the extended trace identity. As its application, we have obtained the Hamiltonian structures of the Yang hierarchy, the Korteweg-de-Vries (KdV) hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur (M-AKNS) hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur Kaup-Newell (M-AKNS-KN) hierarchy and a new multi-component integrable hierarchy separately.
关 键 词:loop algebra Killing form trace identity Hamiltonian structure
分 类 号:O316[理学—一般力学与力学基础]
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