Some New Reductions From a Lax Integrable System |
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| Authors: | En-gui Fan |
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| Affiliation: | (1) Institute of Mathematics, Fudan University, Shanghai 200433, China (E-mail: faneg@fudan.edu.cn), CN |
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| Abstract: | An isospectral problem with four potentials is discussed. The corresponding hierarchy of Lax integrable evolution equations is derived. For the hierarchy, it is shown that there exist other new reductions except those presented by Tu, Meng and Ma. For each reduction case the relevant Hamiltonian structure is established by means of trace identity. |
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| Keywords: | Lax integrable system reduction Hamiltonian structure trace identity |
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