Local Geometric Invariants of Integrable Evolution Equations
solv-int
2009-10-28 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.solv-int/9401001,
title = {Local Geometric Invariants of Integrable Evolution Equations},
author = {Joel Langer and Ron Perline},
journal= {arXiv preprint arXiv:solv-int/9401001},
year = {2009}
}
Comments
15 pages, AMSTeX file (to appear in Journal of Mathematical Physics)