dorsal/arxiv
View SchemaAn analog of the variational derivative and constructive necessary integrability condition for hyperbolic equation
| Authors | S. Ya. Startsev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9703002 |
| URL | https://arxiv.org/abs/solv-int/9703002 |
Abstract
An algorithm is constructed which allows to express conserved flows of hyperbolic equations in terms of corresponding conserved densities and to eliminate these flows from conservation laws of hyperbolic equations. The application of this algorithm to canonical conservation laws gives constructive necessary integrability conditions of hyperbolic equations in terms of the generalized Laplace invariants of these equations.
{
"annotation_id": "348d11bb-550b-4c89-b284-5f3ae786bdb2",
"date_created": "2026-03-02T18:02:50.634000Z",
"date_modified": "2026-03-02T18:02:50.634000Z",
"file_hash": "fc6221f6f3a6a6cd27a390825859d7abf62676d351ed5aff5327e964aa412e9a",
"private": false,
"record": {
"abstract": "An algorithm is constructed which allows to express conserved flows of\nhyperbolic equations in terms of corresponding conserved densities and to\neliminate these flows from conservation laws of hyperbolic equations. The\napplication of this algorithm to canonical conservation laws gives constructive\nnecessary integrability conditions of hyperbolic equations in terms of the\ngeneralized Laplace invariants of these equations.",
"arxiv_id": "solv-int/9703002",
"authors": [
"S. Ya. Startsev"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "An analog of the variational derivative and constructive necessary integrability condition for hyperbolic equation",
"url": "https://arxiv.org/abs/solv-int/9703002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c6d79bc6-e45d-49d0-a370-4c9f76ac613e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}