dorsal/arxiv
View SchemaLocalized solitons of hyperbolic su(N) AKNS system
| Authors | Zixiang Zhou |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9808011 |
| URL | https://arxiv.org/abs/solv-int/9808011 |
| DOI | 10.1088/0266-5611/14/5/019 |
| Journal | Inverse Problems 14 (1998) 1371-1383 |
Abstract
Using the nonlinear constraint and Darboux transformation methods, the (m_1,...,m_N) localized solitons of the hyperbolic su(N) AKNS system are constructed. Here "hyperbolic su(N)" means that the first part of the Lax pair is F_y=JF_x+U(x,y,t)F where J is constant real diagonal and U^*=-U. When different solitons move in different velocities, each component U_{ij} of the solution U has at most m_i m_j peaks as t tends to infinity. This corresponds to the (M,N) solitons for the DSI equation. When all the solitons move in the same velocity, U_{ij} still has at most m_i m_j peaks if the phase differences are large enough.
{
"annotation_id": "16d7c4b4-1de5-4067-ab67-944cf9e57c3d",
"date_created": "2026-03-02T18:02:50.708000Z",
"date_modified": "2026-03-02T18:02:50.708000Z",
"file_hash": "0fb602841181754202483a6dd30d3fedff1ea445ec5dbe8653f13f69def4e500",
"private": false,
"record": {
"abstract": "Using the nonlinear constraint and Darboux transformation methods, the\n(m_1,...,m_N) localized solitons of the hyperbolic su(N) AKNS system are\nconstructed. Here \"hyperbolic su(N)\" means that the first part of the Lax pair\nis F_y=JF_x+U(x,y,t)F where J is constant real diagonal and U^*=-U. When\ndifferent solitons move in different velocities, each component U_{ij} of the\nsolution U has at most m_i m_j peaks as t tends to infinity. This corresponds\nto the (M,N) solitons for the DSI equation. When all the solitons move in the\nsame velocity, U_{ij} still has at most m_i m_j peaks if the phase differences\nare large enough.",
"arxiv_id": "solv-int/9808011",
"authors": [
"Zixiang Zhou"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0266-5611/14/5/019",
"journal_ref": "Inverse Problems 14 (1998) 1371-1383",
"title": "Localized solitons of hyperbolic su(N) AKNS system",
"url": "https://arxiv.org/abs/solv-int/9808011"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "619fc8a4-8846-42e8-b0f0-90e9c3ff80ad",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}