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| THE TRACE INDENTITY, A POWERFUL TOOL FOR CONSTRUCTING THE HAMILTONIAN STRUCTURE OF INTEGRABLE SYSTEMS (III) |
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Citation： |
Tu Guizhang,Xu Baozhi.THE TRACE INDENTITY, A POWERFUL TOOL FOR CONSTRUCTING THE HAMILTONIAN STRUCTURE OF INTEGRABLE SYSTEMS (III)[J].Chinese Annals of Mathematics B,1996,17(4):497~506 |
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Net amount： 1141 |
Authors： |
Tu Guizhang; Xu Baozhi |
Foundation： |
the National Natural Science Foundation through Nankai Institute of Mathematics |
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| Abstract： |
Two isospectral-problems, that contain three potential $u, v$
and $w$, are discussed. The corresponding hierarchies of
nonlinear evolution equations are derived. It is shown that both the two hierarchies of equations share a common interesting character that they admit a nonlinear reduction $w=\ga u v$ between the potentials with $\ga$ being a constant. In both the reduction cases the relevant Hamiltonian structures are established by using trace identity. |
Keywords： |
Integrable system, Hamiltonian structure, Trace identity |
Classification： |
35K22, 58F05 |
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