Integrability of and differential–algebraic structures for spatially 1D hydrodynamical systems of Riemann type

Denis Blackmore, Yarema A. Prykarpatsky, Nikolai N. Bogolubov and Anatolij K. Prykarpatski

Chaos, Solitons & Fractals, 2014, vol. 59, issue C, 59-81

Abstract: A differential–algebraic approach to studying the Lax integrability of a generalized Riemann type hydrodynamic hierarchy is revisited and a new Lax representation is constructed. The related bi-Hamiltonian integrability and compatible Poissonian structures of this hierarchy are also investigated using gradient-holonomic and geometric methods.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:59:y:2014:i:c:p:59-81

DOI: 10.1016/j.chaos.2013.11.012

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