Hydrodynamic Reductions of Dispersionless Harry Dym Hierarchy
Jen-Hsu Chang
Abstract
We investigate the reductions of dispersionless Harry Dym hierarchy to systems of finitely many partial differential equations. These equations must satisfy the compatibility condition and they are diagonalizable and semi-Hamiltonian. By imposing a further constraint, the compatibility is reduced to a system of algebraic equations, whose solutions are described.
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