Local Geometric Invariants of Integrable Evolution Equations

Joel Langer; Ron Perline

doi:10.1063/1.530567

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Local Geometric Invariants of Integrable Evolution Equations

Joel Langer·Ron Perline

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Abstract

The integrable hierarchy of commuting vector fields for the localized induction equation of 3D hydrodynamics, and its associated recursion operator, are used to generate families of integrable evolution equations which preserve local geometric invariants of the evolving curve or swept-out surface.

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Joel Langer, Ron Perline. 1994-01-06. Local Geometric Invariants of Integrable Evolution Equations. https://doi.org/10.1063/1.530567

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