dorsal/arxiv
View SchemaElliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach
| Authors | Fritz Gesztesy, Rudi Weikard |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9809005 |
| URL | https://arxiv.org/abs/solv-int/9809005 |
Abstract
We provide an overview of elliptic algebro-geometric solutions of the KdV and AKNS hierarchies, with special emphasis on Floquet theoretic and spectral theoretic methods. Our treatment includes an effective characterization of all stationary elliptic KdV and AKNS solutions based on a theory developed by Hermite and Picard.
{
"annotation_id": "b9098a15-4c41-4ed7-95b3-af45c9377e6c",
"date_created": "2026-03-02T18:02:51.465000Z",
"date_modified": "2026-03-02T18:02:51.465000Z",
"file_hash": "4c87fef373bba988925a810c42e77248c6f3b610dad26381eabe58cdc5cc63af",
"private": false,
"record": {
"abstract": "We provide an overview of elliptic algebro-geometric solutions of the KdV and\nAKNS hierarchies, with special emphasis on Floquet theoretic and spectral\ntheoretic methods. Our treatment includes an effective characterization of all\nstationary elliptic KdV and AKNS solutions based on a theory developed by\nHermite and Picard.",
"arxiv_id": "solv-int/9809005",
"authors": [
"Fritz Gesztesy",
"Rudi Weikard"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach",
"url": "https://arxiv.org/abs/solv-int/9809005"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "dfd453eb-336b-4fbe-ab7d-24552262d481",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}