标题： 黎曼型层次的微分代数和双哈密顿可积性分析的重新审视 显示英文标题

标题： The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited

摘要： 一种微分代数方法被重新用于研究广义Riemann型流体力学层次的Lax类型可积性，其新的Lax类型表示和精确形式的泊松结构被构建出来。 相关双哈密顿可积性和广义Riemann型层次的相容泊松结构也被讨论。 显示英文摘要

摘要： A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic hierarchy is revisited, its new Lax type representation and Poisson structures constructed in exact form. The related bi-Hamiltonian integrability and compatible Poissonian structures of the generalized Riemann type hierarchy are also discussed.