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A finite—dimensional Hamiltonian system {R2N,dp∧dq, H=-<∧q,p>-1/2<∧p,p>} is proved to be completely integrable in Liouville sense. The relations between the stationary Kaup—Newel equation and this system, Xl-flows are discussed, where Xl is the Kaup—Newell vector field.
[1] Li yishen and Zhuang Dawei. Scientia Sinica. A1983, (2) : 107-118.
[2] Yunbo Zeng and Yishen Li. J. Math. Phys. 1989, 1679-1689.
[3] Cao Cewen. Seience in China, Series A, 1990, 33: 528-536.
[4] Cao Cewen and Geng Xianguo. Classical integrable systems generated through nonlinearization of eigenvalue problems, Nonlinear Physics-Proceedings, Shanghai, 1989, Research Reports in Physics,Springer Verlag, 1989, 89.
[5] 朱国城,李翊神.科学通报,1986,(24) :1845-1849.
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Citation Information:
[1]Cao Cewen Geng Xianguo(Department of Mathematics).COMPLETE INTEGRABILITY OF A FINITE-DIMENSIONAL HAMILTONIAN SYSTEM[J].Journal of Zhengzhou University(Natural Science Edition),1990(01):10-14.
Fund Information:
国家自然科学基金
1990-04-02
1990-04-02