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Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces

E. V. Ferapontov
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Abstract

Hydrodynamic surfaces are solutions of hydrodynamic type systems viewed as non-parametrized submanifolds of the hodograph space. We propose an invariant differential-geometric characterization of hydrodynamic surfaces by expressing the curvature form of the characteristic web in terms of the reciprocal invariants.

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E. V. Ferapontov. 2001-06-26. Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces. https://doi.org/10.1088/0305-4470%2F35%2F32%2F308

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