Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2005-02-27
Nonlinear Sciences
Exactly Solvable and Integrable Systems
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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