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Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations |
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| Authors: | Hong-Xiang Yang Jun Du Xi-Xiang Xu |
| Affiliation: | a College of Information Science and Technology, Taishan College, Taian 271021, China b College of Information Science and Engineering, Shandong University, Jinan 250100, China c School of Communication, Shandong Normal University, Jinan 250014, China d College of Science, Shandong University of Science and Technology, Qingdao 266510, China |
| Abstract: | By considering an isospectral eigenvalue problem, a hierarchy of soliton equations are derived. Two types of extensions are presented by enlarging the associated spectral problem. With the aid of generalized trace identity and the super-trace identity, the Hamiltonian and super-Hamiltonian structures for the integrable extensions are established. |
| Keywords: | Isospectral eigenvalue problem Integrable coupling Generalized trace identity Super-trace identity Super-Hamiltonian structure |
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