dorsal/arxiv
View SchemaLocalized induction equation, Heisenberg chain, and nonlinear Schrodinger equation
| Authors | Joel Langer, Ron Perline |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9404001 |
| URL | https://arxiv.org/abs/solv-int/9404001 |
Abstract
The three equations named in the title are examples of infinite-dimensional completely integrable Hamiltonian systems, and are related to each other via simple geometric constructions. In this paper, these interrelationships are further explained in terms of the recursion operator for the Localized Induction Equation, and the recursion operator is seen to play a variety of roles in key geometric variational formulas.
{
"annotation_id": "bc6f64a9-3220-463e-9566-705565972841",
"date_created": "2026-03-02T18:02:48.362000Z",
"date_modified": "2026-03-02T18:02:48.362000Z",
"file_hash": "32c9cbdb76ba09689cb614834c6fb54af9d67484933daa756d51f1b9f794e28a",
"private": false,
"record": {
"abstract": "The three equations named in the title are examples of infinite-dimensional\ncompletely integrable Hamiltonian systems, and are related to each other via\nsimple geometric constructions. In this paper, these interrelationships are\nfurther explained in terms of the recursion operator for the Localized\nInduction Equation, and the recursion operator is seen to play a variety of\nroles in key geometric variational formulas.",
"arxiv_id": "solv-int/9404001",
"authors": [
"Joel Langer",
"Ron Perline"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Localized induction equation, Heisenberg chain, and nonlinear Schrodinger equation",
"url": "https://arxiv.org/abs/solv-int/9404001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4d46f861-22d8-421f-969d-7dc23f8a435f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}