dorsal/arxiv
View SchemaLocal Geometric Invariants of Integrable Evolution Equations
| Authors | Joel Langer, Ron Perline |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9401001 |
| URL | https://arxiv.org/abs/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.
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"abstract": "The integrable hierarchy of commuting vector fields for the localized\ninduction equation of 3D hydrodynamics, and its associated recursion operator,\nare used to generate families of integrable evolution equations which preserve\nlocal geometric invariants of the evolving curve or swept-out surface.",
"arxiv_id": "solv-int/9401001",
"authors": [
"Joel Langer",
"Ron Perline"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.530567",
"title": "Local Geometric Invariants of Integrable Evolution Equations",
"url": "https://arxiv.org/abs/solv-int/9401001"
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