Integrability of the Gibbons--Tsarev system
M.V. Pavlov
TL;DR
This paper introduces a novel method for deriving multi-parametric hydrodynamic reductions within integrable hydrodynamic chains, focusing on the Benney chain, to advance understanding of their integrability properties.
Contribution
It presents a new approach for extracting hydrodynamic reductions, specifically applied to the Benney chain, enhancing the analysis of integrability in hydrodynamic systems.
Findings
New hydrodynamic reductions for the Benney chain derived
Enhanced understanding of integrability conditions achieved
Method applicable to other hydrodynamic chains
Abstract
A new approach extracting multi-parametric hydrodynamic reductions for the integrable hydrodynamic chains is presented. The Benney hydrodynamic chain is considered.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems