The Rigid Body Type Poisson Structure for the Constrained NLS System

• 作 者: DU Dian-lou MA Yun-ling
• 机 构: DepartmentofMathematics,DepartmentofMathematics
• 出 处: 数学季刊：英文版
• 发表日期: 2005年3期
• 关键词: NLS系统 POISSON结构 刚体 约束性 constrained system Poisson structure reduction
• 基金项目: 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（2004110

<正>A constrained system associated with a 3×3 matrix spectral problem of the nonlinear Schrodinger(NLS) hierarchy is proposed. It is shown that the constrained system is a Hamiltonian system with the rigid body type Poisson structure on the Poi