标题： 重温Riemann型层次的微分-代数和双Hamilton可积性分析 显示英文标题

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

摘要： 重新审视了利用微分-代数方法研究广义Riemann型水动力学族Lax型可积性的方法，以精确形式构造了其新的Lax型表示和Poisson结构。还讨论了广义Riemann型族的双Hamiltonian可积性及其相容的Poissonian结构。 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.