| A Knid of Hamiltonian System with C.Neumann Constraint and WKI Hierarchy |
| Received:May 13, 1991 Revised:March 10, 1993 |
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| Abstract: |
| In this paper, the commutator representations of the WKI vector fields are first pre-sented. Then using the functional gradient of eigenvalue, we obtain a kind of C.Neumann constraint under which the isospectral problem (WKI eigenvalue problem) related to the WKI hierarchy of evolution equations is nonlinearized as a Hamiltonian system. Finally, we discuss the relation between the C.Neumann constraint and a stationary solition sys-tem. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1993.03.011 |
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