数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (4): 457-461.

• 论文 • 上一篇    下一篇

A CLASSICAL INTEGRABLE NEUMANN SYSTEM

牟卫华1, 曹策问2, 耿献国2   

  1. 1. Shijiazhuany Railway Institute. Shijiazhuang 050043, China;
    2. Dept. of Math., Zhengzhou Univ., Zhengzhou, 450052, China
  • 收稿日期:1989-11-01 出版日期:1993-12-25 发布日期:1993-12-25

A CLASSICAL INTEGRABLE NEUMANN SYSTEM

Mu Weihua1, Cao Cewen2, Geng Xianguo2   

  1. 1. Shijiazhuany Railway Institute. Shijiazhuang 050043, China;
    2. Dept. of Math., Zhengzhou Univ., Zhengzhou, 450052, China
  • Received:1989-11-01 Online:1993-12-25 Published:1993-12-25

摘要: Under an algebraic constraint between the potentials and the eigeufunctions, the Jaulent-Miodek eigenvalue problem is nonlinearized to be a completely integrable C. Neumann system (M2N-2, dpdq|M2N-3, H) in Liouville sense with the Hamiltonian function.

Abstract: Under an algebraic constraint between the potentials and the eigeufunctions, the Jaulent-Miodek eigenvalue problem is nonlinearized to be a completely integrable C. Neumann system (M2N-2, dpdq|M2N-3, H) in Liouville sense with the Hamiltonian function.