二階完整譜系的c.neumann系統(tǒng)

1、河北工業(yè)大學碩士學位論文二階完整譜系的C.Neumann系統(tǒng)姓名：王清申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：顧祝全20070601b R ? % 3 2 N C.Neumann 2 ?THE C.NEUMANN SYSTEM FORTHE SECOND-ORDER COMPLETE HIERARCHYABSTRACTIn this paper, the Neumann system and the evolution equatio

2、n hierar-chy associated with the operator L = ??2 ? iw? ? i?w + u are discussed.On the constraint surface Γ, the relations between the potential and theeigenvector are obtained. Then, based on the Euler-Lagrange equation

3、sand Legendre transformations, a reasonable Jacobi-Ostrogradsky coordi-nate system has been found, and it is equal to the real hamiltionian canon-ical coordinate system. Moreover, using the nonlinearization of Lax pairsa

4、nd the Moser constraint method, we transform the Neumann system intoa finite-dimensional integrable Hamiltonian system in the Liouville sense.KEY WORDS: the second-order complete hierarchy, C.Neumann system,nonlinearizat