dorsal/arxiv
View SchemaHuygens' Principle in Minkowski Spaces and Soliton Solutions of the Korteweg-de Vries Equation
| Authors | Y. Berest, I. Loutsenko |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9704012 |
| URL | https://arxiv.org/abs/solv-int/9704012 |
| DOI | 10.1007/s002200050235 |
Abstract
A new class of linear second order hyperbolic partial differential operators satisfying Huygens' principle in Minkowski spaces is presented. The construction reveals a direct connection between Huygens' principle and the theory of solitary wave solutions of the Korteweg-de Vries equation.
{
"annotation_id": "273f832a-42ed-43b5-bbc5-f806b7eb58cb",
"date_created": "2026-03-02T18:02:50.876000Z",
"date_modified": "2026-03-02T18:02:50.876000Z",
"file_hash": "41d67ba47f49a70339d8927af1683b1616f660377a4ee4ffa93da705dec98a19",
"private": false,
"record": {
"abstract": "A new class of linear second order hyperbolic partial differential operators\nsatisfying Huygens\u0027 principle in Minkowski spaces is presented. The\nconstruction reveals a direct connection between Huygens\u0027 principle and the\ntheory of solitary wave solutions of the Korteweg-de Vries equation.",
"arxiv_id": "solv-int/9704012",
"authors": [
"Y. Berest",
"I. Loutsenko"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1007/s002200050235",
"title": "Huygens\u0027 Principle in Minkowski Spaces and Soliton Solutions of the Korteweg-de Vries Equation",
"url": "https://arxiv.org/abs/solv-int/9704012"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bbe7344b-f398-415d-a62f-e9e0a9102c35",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}