Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited

作者:Prykarpatsky Yarema A*; Artemovych Orest D; Pavlov Maxim V; Prykarpatsky Anatoliy K
来源:Journal of Mathematical Physics, 2012, 53(10): 103521.
DOI:10.1063/1.4761821

摘要

A differential-algebraic approach to studying the Lax integrability of the generalized Riemann type hydrodynamic hierarchy is revisited and its new Lax representation is constructed in exact form. The bi-Hamiltonian integrability of the generalized Riemann type hierarchy is discussed by means of the gradient-holonomic and symplectic methods and the related compatible Poissonian structures for N = 3 and N = 4 are constructed.

  • 出版日期2012-10