dorsal/arxiv
View SchemaNonlinear interaction between three kinetic Alfv\'{e}n waves
| Authors | P. K. Shukla, G. Brodin, L. Stenflo |
|---|---|
| Categories | |
| ArXiv ID | physics/0602090 |
| URL | https://arxiv.org/abs/physics/0602090 |
| DOI | 10.1016/j.physleta.2005.11.079 |
Abstract
Using Hall-MHD theory, we focus on the resonant interaction between three kinetic Alfv\'{e}n waves. We thus derive three coupled equations which govern this process. It turns out that these equations contain the same coupling coefficient, directly showing that they satisfy the Manley-Rowe relations. The coupling coefficient can be written in a comparatively very simple form, that has not been deduced before. The decay rate, when a pump kinetic Alfv\'{e}n wave decays into two similar Alfv\'{e}n waves, is therefore easily estimated for plasmas of astrophysical interest.
{
"annotation_id": "0c2f1d48-5262-4ab1-9fe5-757b359ccc33",
"date_created": "2026-03-02T18:01:07.211000Z",
"date_modified": "2026-03-02T18:01:07.211000Z",
"file_hash": "7e78b9910ae06fba8e10ac3e7d33e09b139cc615cafbeb3459e139804219f7c3",
"private": false,
"record": {
"abstract": "Using Hall-MHD theory, we focus on the resonant interaction between three\nkinetic Alfv\\\u0027{e}n waves. We thus derive three coupled equations which govern\nthis process. It turns out that these equations contain the same coupling\ncoefficient, directly showing that they satisfy the Manley-Rowe relations. The\ncoupling coefficient can be written in a comparatively very simple form, that\nhas not been deduced before. The decay rate, when a pump kinetic Alfv\\\u0027{e}n\nwave decays into two similar Alfv\\\u0027{e}n waves, is therefore easily estimated\nfor plasmas of astrophysical interest.",
"arxiv_id": "physics/0602090",
"authors": [
"P. K. Shukla",
"G. Brodin",
"L. Stenflo"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1016/j.physleta.2005.11.079",
"title": "Nonlinear interaction between three kinetic Alfv\\\u0027{e}n waves",
"url": "https://arxiv.org/abs/physics/0602090"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7cac8757-6427-41aa-b3bb-d6fb3255ee2e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}