Integrability and conservation laws for two systems of hydrodynamic type derived from the Toda and Volterra systems

DOI10.1016/j.difgeo.2012.06.002zbMath1252.35199OpenAlexW2076329950WikidataQ115356707 ScholiaQ115356707MaRDI QIDQ714430

Patrick Reynolds

Publication date: 11 October 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2012.06.002

zbMATH Keywords

integrable systemsNijenhuis tensorquasilinear PDEs

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Decoupling problem for systems of quasi-linear PDE's
• On the Toda and Kac-van Moerbeke hierarchies
• From the Toda lattice to the Volterra lattice and back
• A Canonical Transformation for the Exponential Lattice
• The Toda lattice. II. Existence of integrals
• Integrals of nonlinear equations of evolution and solitary waves
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