dorsal/arxiv
View SchemaExample of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation
| Authors | Ramil' F. Bikbaev, Vadim R. Kudashev |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9404004 |
| URL | https://arxiv.org/abs/patt-sol/9404004 |
| DOI | 10.1016/0375-9601(94)90751-X |
Abstract
Dissipationless shock waves in modulational unstable one-dimensional medium are investigated on the simplest example of integrable focusing nonlinear Schr\''odinger (NS) equation. Our approach is based on the construction of special exact solution of the Whitham-NS system, which ''partially saturates'' the modulational instability.
{
"annotation_id": "cabd36da-1a0f-4ab6-9001-068c91c842e2",
"date_created": "2026-03-02T18:00:28.835000Z",
"date_modified": "2026-03-02T18:00:28.835000Z",
"file_hash": "64225be34abb0a88f6c1009c40f8071263d5eeb99d71e61dab9d3608eac0d1ea",
"private": false,
"record": {
"abstract": "Dissipationless shock waves in modulational unstable one-dimensional medium\nare investigated on the simplest example of integrable focusing nonlinear\nSchr\\\u0027\u0027odinger (NS) equation. Our approach is based on the construction of\nspecial exact solution of the Whitham-NS system, which \u0027\u0027partially saturates\u0027\u0027\nthe modulational instability.",
"arxiv_id": "patt-sol/9404004",
"authors": [
"Ramil\u0027 F. Bikbaev",
"Vadim R. Kudashev"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/0375-9601(94)90751-X",
"title": "Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation",
"url": "https://arxiv.org/abs/patt-sol/9404004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6a5cfb6a-2186-40da-b062-7da560118ab4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}