Local Geometric Invariants of Integrable Evolution Equations
arXiv:solv-int/9401001 · doi:10.1063/1.530567
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.
15 pages, AMSTeX file (to appear in Journal of Mathematical Physics)
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