A hierarchy of Liouville integrable finite-dimensional Hamiltonian systems

Author:

Wen-xiu Ma

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference15 articles.

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).

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