[1] Lax, P.D., A Hamiltonian approach to the KdV and other equations, Nonlinear Evolution Equations, Ed., M.G. Crandall, Academic Press, New York (1978), 207-224. [2] Tu, G.Z., Infinitesimal canonical transformations of generalized Hamiltonian equations, J. Phys. A: Math. Gen., 15 (1982), 277-285. [3] Abraham, R., J.E. Marsden and T. Ratiu, Manifolds, Tensor Analysis, and Applications, Addison-Wesley Publishing Company, Inc., Massachusetts (1983). [4] Arnold, V.I., Mathematical Methods of Classical Mechanics, Second (Corrected) Printing, Springer-Verlag, New York (1980). [5] Olver, P.J., Applications of Lie Groups to Differential Equations, Springer-Verlag, New York (1986). [6] Moser, J., Various aspects of integrable Hamiitonian systems, Dynamical Systems (Progress in Mathematics, 8), (Ed., J. Guckenheimer, et al., Birkhaüser, Boston (1980), 233-289. [7] Moser, J., Three integrable Hamiltonian systems connected with isospectral deformations,Advances in Math., 16 (1975), 197-220. [8] Adler, M., Some finite dimensional integrable systems and their scattering behavior, Commun. Math. Phys., 55 (1977), 195-230. [9] Cao, C.W., Nonlinearization of the Lax system for AKNS hierarchy, Science in China, A, 7(1989), 701-707.(in Chinese) [10] Zeng, Y.B. and Y.S. Li, Three kinds of constraints of potentials for KdV hierarchy, Acta Math. Sinica, New Series, 6, 3 (1990), 257-272. [11] Cao, C.W. and X,G. Geng, Classical integrable systems generated through nonlinearization of eigenvalue problems, Nonlinear Physics (Research Reports in Physics), Springer-Verlag, Berlin (1986), 68-78. [12] Tu, G.Z., On complete integrability of a large class of finite-dimensional Hamiltonian systems, Advances in Math.(China), 20, 1(1991), 60-74. [13] Ma, W.X., A new involutive system of polynomials and its classical integrable systems, Chinese Science Bulletin, 35, 22(1990), 1853-1858. [14] Ma, W.X., The confocal involutive system and the integrability of the nonlinearized Lax systems of AKNS hierarchy, Nonlinear Physics (Research Reports in Physics), Springer-Verlag, Berlin (1990), 79-84. [15] Cao, C.W., Confoeal involutive system and some kind of AKNS eigenvalue problems, Henan Science, 5, 1(1987), 1-10.(in Chinese) |