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

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

2001-06-26

arxiv.org/abs/nlin/0106040v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

10.1088/0305-4470/35/32/308

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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