A constrained system associated with a 3 × 3 matrix spectral problem of the nonlinear Schroedinger（NLS） hierarchy is proposed. It is shown that the constrained system is a Hamiltonian system with the rigid body...A constrained system associated with a 3 × 3 matrix spectral problem of the nonlinear Schroedinger（NLS） hierarchy is proposed. It is shown that the constrained system is a Hamiltonian system with the rigid body type Poisson structure on the Poisson manifold R^3N. Further, the reduction of the constrained system extended to the common level set of the complex cones is proved to be the constrained AKNS system on C^2N.展开更多
基金Foundation item: Supported by the National Natural Science Foundation of China(10471132)Supported by the Youth Teacher Foundation and Natural Science Foundation of Henan Education Department(2004110006)
文摘A constrained system associated with a 3 × 3 matrix spectral problem of the nonlinear Schroedinger（NLS） hierarchy is proposed. It is shown that the constrained system is a Hamiltonian system with the rigid body type Poisson structure on the Poisson manifold R^3N. Further, the reduction of the constrained system extended to the common level set of the complex cones is proved to be the constrained AKNS system on C^2N.
