Local Geometric Invariants of Integrable Evolution Equations

Details Local Geometric Invariants of Integrable Evolution Equations Local Geometric Invariants of Integrable Evolution Equations

1994-01-06

arxiv.org/abs/solv-int/9401001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, AMSTeX file (to appear in Journal of Mathematical Physics)

Scientific paper

10.1063/1.530567

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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