摘要
A hierarchy of integrable Hamiltonian systems with Neumann type constraint isobtained by restricting a hierarchy of evolution equations associated with λφ<sub>xx</sub>+u<sub>i</sub>λ<sup>i</sup>φ=λ<sup>m</sup>φ 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.
A hierarchy of integrable Hamiltonian systems with Neumann type constraint is obtained by restricting a hierarchy of evolution equations associated with lambda-phi(xx) + SIGMA(i=0)m-1 mu(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.
基金
Project supported by the Scienes Foundation of the State Science and Technology Commission and Education Commission.
