| A HIERARCHY OF INTEGRABLE HAMILTONIAN SYSTEMS WITH NEUMANN TYPE CONSTRAINT |
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| 引用本文： | 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]. 数学年刊B辑(英文版), 1992, 13(3): 327-340 |
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| 作者姓名： | Zeng Yunbo(曾云波 Li Yishen(李翊神 Chen Dengyuan(陈登远 |
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| 作者单位： | Department of Mathematics University of Science and Technology of China，Hefei，Auhui 230026 China.，Department of Mathematics，University of Science and Technology of China，Hefei，Auhui 230026 China.，Department of Mathematics，University of Science and Technology of China，Hefei，Auhui 230026 China. |
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| 基金项目： | Project supported by the Scienes Foundation of the State Science and Technology Commission and Education Commission. |
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| 摘 要： | A hierarchy of integrable Hamiltonian systems with Neumann type constraint isobtained by restricting a hierarchy of evolution equations associated with λφ_(xx)+u_iλ~iφ=λ~mφ to aninvariant subspace of their recursion operator.The independentintegrals of motion and Hamiltonian functions for these Hamiltonian systems areconstructed by using relevant reeursion formula and are shown to be in involution.Thusthese Hamiltonian systems are completely integrable and commute with each other.
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| 收稿时间： | 1990-03-08 |
| 修稿时间： | 1991-01-13 |
A HIERARCHY OF INTEGRABLE HAMILTONIAN SYSTEMS WITH NEUMANN TYPE CONSTRAINT |
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| Affiliation: | Department of Mathematics,University of Science and Technology,of China,Hefei,Auhui 230026 China.,Department of Mathematics,University of Science and Technology,of China,Hefei,Auhui 230026 China. and Department of Mathematics,University of Science and Technology,of China,Hefei,Auhui 230026 China. |
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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 $[lambda {phi _{xx}} + sumlimits_{i = 0}^{m - 1} {{u_i}{lambda ^i}phi = {lambda ^m}phi } ]$ 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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