Algebro-geometric approach in the theory of integrable hydrodynamic type systems

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

The algebro-geometric approach for integrability of semi-Hamiltonian
hydrodynamic type systems is presented. This method is significantly simplified
for so-called symmetric hydrodynamic type systems. Plenty interesting and
physically motivated examples are investigated.

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