A cohomological construction of integrable hierarchies of hydrodynamic type
Paolo Lorenzoni, Franco Magri
TL;DR
This paper introduces a cohomological approach using bidifferential ideals to systematically construct integrable hierarchies of hydrodynamic type equations.
Contribution
It presents a novel cohomological method for building integrable hydrodynamic hierarchies, expanding the mathematical toolkit for such constructions.
Findings
Provides a new cohomological framework for integrable systems
Constructs explicit hierarchies of hydrodynamic type
Enhances understanding of integrability via bidifferential ideals
Abstract
We explain how to use the theory of bidifferential ideals to construct integrable hierarchies of hydrodynamic type.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons