Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces
Exactly Solvable and Integrable Systems
2009-11-07 v1
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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Cite
@article{arxiv.nlin/0106040,
title = {Invariant description of solutions of hydrodynamic type systems in hodograph space: hydrodynamic surfaces},
author = {E. V. Ferapontov},
journal= {arXiv preprint arXiv:nlin/0106040},
year = {2009}
}
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12 pages