摘要
A hierarchy of Hamiltonian systems obtained from the Lax pair of KdV hierarchy under theconstraint condition on potential u = (q, q) is. presented. The independent integrals for theseHamiltonian systems are constructed by using recursion operator and shown to be in involution.Thus this hierarchy of Hamiltonian systems is completely integrable in the sense of Liouville. andthey commute with each other.
A hierarchy of Hamiltonian systems obtained from the Lax pair of KdV hierarchy under theconstraint condition on potential u = (q, q) is. presented. The independent integrals for theseHamiltonian systems are constructed by using recursion operator and shown to be in involution.Thus this hierarchy of Hamiltonian systems is completely integrable in the sense of Liouville. andthey commute with each other.
基金
This project is supported by the National Natural Science Foundation of China
