Hydrodynamic Reductions of Dispersionless Harry Dym Hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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15 pages

Scientific paper

10.1088/0305-4470/38/29/006

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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