一族Liouville可积系及其双约束流的Hamilton正则表示

A family of Liouville integrable systems and Hamilton regular representations of its binary constrained flows

构造了高阶ｌｏｏｐ代数Ａ２的一个特殊子代数，由此建立了一个３×３等谱问题，利用屠格式 得到了一族Ｌｉｏｕｖｉｌｌｅ意义下的可积 Ｈａｍｉｌｔｏｎ方程．通过建立双对称约束，得到了该方程族的两组 约束流，并将其化为正则表示 Ｈａｍｉｌｔｏｎ系统．

A special subalgebra of higher--order loop algebra A2 is constructed, from which a 3×3 isospec- tral problem is hence defined. By using Tu-model, an integrable Hamiltonian hierarchy of equations in the sense of Liouville is obtained. By establishing binary symmetric constraints, two constrained flows of the hierarchy are presented, which are then reduced to Hamiltonian systems.