Article ID Journal Published Year Pages File Type
4606203 Differential Geometry and its Applications 2012 11 Pages PDF
Abstract

We prove that two particular systems of hydrodynamic type can be represented as systems of conservation laws, and that they decouple into non-interacting integrable subsystems. The systems of hydrodynamic type in question were previously constructed, via a matrix partial differential equation, from the Lax pairs for the classical Toda and Volterra systems. The decoupling is guaranteed by the vanishing of the Nijenhuis tensor for each system; integrability of the non-interacting subsystems, thus each system as a whole, is proven for low eigenvalue multiplicities.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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