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| A HIERARCHY OF INTEGRABLE HAMILTONIAN SYSTEMS WITH NEUMANN TYPE CONSTRAINT |
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Citation： |
Zeng Yunbo（曾云波）,Li Yishen（李翊神）,Chen Dengyuan（陈登远）.A HIERARCHY OF INTEGRABLE HAMILTONIAN SYSTEMS WITH NEUMANN TYPE CONSTRAINT[J].Chinese Annals of Mathematics B,1992,13(3):327~340 |
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Net amount： 897 |
Authors： |
Zeng Yunbo（曾云波）; Li Yishen（李翊神）;Chen Dengyuan（陈登远） |
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| Abstract： |
A hierarchy of integrable Hamiltonian systems with Neumann type constraint is obtained by restricting a hierarchy of evolution equations associated with $\[\lambda {\phi _{xx}} + \sum\limits_{i = 0}^{m - 1} {{u_i}{\lambda ^i}\phi = {\lambda ^m}\phi } \]$ to an invariant subspace of their recursion operator.The independent integrals of motion and Hamiltonian functions for these Hamiltonian systems are constructed by using relevant recursion formula and are shown to be in involution.Thus these Hamiltonian systems are completely integrable and commute with each other. |
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