一列Liouville可积的有限维Hamilton系统族

A SERJES OF HIERARCHIES OF LIOUVILLE INTEGRABLE FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS

本文直接递归地生成了一列Liouville可积的有限维Hamilton系统族，给出了其一串对合的公共运动积分和一组对合的生成元．

in this paper, a series of hierarchies of Liouville integrable abate-dimensionalHamiltonian systems are successively genersted by.using a direct approach. In addition, aninfinite number of involutive common integrals of motion and a set of their involutive generatorsare given.