学术论文

      约束的NLS系统的刚体型Poisson结构

      The Rigid Body Type Poisson Structure for the Constrained NLS System

      Abstract:
      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 Poisson manifold R3N. 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 C2N.
      作者: 杜殿楼 [1] 马云苓 [2]
      Author: DU Dian-lou [1] MA Yun-ling [2]
      作者单位: Zhengzhou University Shangqiu Normal University
      刊 名: 数学季刊(英文版) ISTIC
      年,卷(期): 2005, 20(3)
      分类号: O175.14
      机标分类号: O17 O4
      在线出版日期: 2005年12月1日
      基金项目: 国家自然科学基金,河南省教育厅自然科学基金,河南省自然科学基金