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Algebro-Geometric Approach in the Theory of Integrable Hydrodynamic Type Systems

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Abstract

The algebro-geometric approach for integrability of semi-Hamiltonian hydrodynamic type systems is presented. The class of symmetric hydrodynamic type systems is defined and the calculation of the associated Riemann surfaces is greatly simplified for this class. Many interesting and physically motivated examples are investigated.

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  1. Mathematical Physics Department, P.N. Lebedev Physical Institute, Leninskij Prospekt 53, Moscow, Russia

    Maxim V. Pavlov

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  1. Maxim V. Pavlov
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Communicated by G.W. Gibbons

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Pavlov, M.V. Algebro-Geometric Approach in the Theory of Integrable Hydrodynamic Type Systems. Commun. Math. Phys. 272, 469–505 (2007). https://doi.org/10.1007/s00220-007-0235-1

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