dorsal/arxiv
View SchemaSolitons in a 3d integrable model
| Authors | S. Sergeev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9904013 |
| URL | https://arxiv.org/abs/solv-int/9904013 |
| DOI | 10.1016/S0375-9601(99)00849-X |
Abstract
Equations of motion for a classical 3d discrete model, whose auxialiary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of "tau functions". The equations of motion for the Triplet of Tau functions are Three Trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.
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"date_created": "2026-03-02T18:02:51.512000Z",
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"abstract": "Equations of motion for a classical 3d discrete model, whose auxialiary\nsystem is a linear system, are investigated. The Lagrangian form of the\nequations of motion is derived. The Lagrangian variables are a triplet of \"tau\nfunctions\". The equations of motion for the Triplet of Tau functions are Three\nTrilinear equations. Simple solitons for the trilinear equations are given.\nBoth the dispersion relation and the phase shift reflect the triplet structure\nof equations.",
"arxiv_id": "solv-int/9904013",
"authors": [
"S. Sergeev"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(99)00849-X",
"title": "Solitons in a 3d integrable model",
"url": "https://arxiv.org/abs/solv-int/9904013"
},
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