Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606203 | Differential Geometry and its Applications | 2012 | 11 Pages |
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
Authors
Patrick Reynolds,