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Integrability of the Egorov systems of hydrodynamic type

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Abstract

We present integrability criterion for the Egorov systems of hydrodynamic type. We find the general solution by the generalized hodograph method and give examples. We discuss a description of triorthogonal curvilinear coordinate systems from the standpoint of reciprocal transformations.

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  1. Lebedev Physical Institute, RAS, Moscow, Russia

    M. V. Pavlov

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  1. M. V. Pavlov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 263–285, February, 2007.

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Pavlov, M.V. Integrability of the Egorov systems of hydrodynamic type. Theor Math Phys 150, 225–243 (2007). https://doi.org/10.1007/s11232-007-0017-0

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