Hydrodynamic reductions and solutions of a universal hierarchy

Abstract

The diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains are explicitly characterized. Their compatibility with previously introduced reductions of differential type is analyzed and their associated class of hodograph solutions is discussed.

19 pages

References in corpus (2)

• An integrable shallow water equation with peaked solitons
• On integrability of (2+1)-dimensional quasilinear systems

Cited by in corpus (46)

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