A Knid of Hamiltonian System with C.Neumann Constraint and WKI Hierarchy
Received:May 13, 1991  Revised:March 10, 1993
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Qiao Zhijun Dept. of Math.
Liaoning University
Shenyang 
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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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