dorsal/arxiv
View SchemaLax Pair Formulation and Multi-soliton Solution of the Integrable Vector Nonlinear Schrodinger Equation
| Authors | Freddy P. Zen, Hendry I. Elim |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9902010 |
| URL | https://arxiv.org/abs/solv-int/9902010 |
Abstract
The integrable vector nonlinear Schrodinger (vector NLS) equation is investigated by using Zakharov-Shabat (ZS) scheme. We get a Lax pair formulation of the vector NLS model. Multi-soliton solution of the equation is also derived by using inverse scattering method of ZS scheme. We also find that there is an elastic and inelastic collision of the bright and dark multi-solitons of the system.
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"abstract": "The integrable vector nonlinear Schrodinger (vector NLS) equation is\ninvestigated by using Zakharov-Shabat (ZS) scheme. We get a Lax pair\nformulation of the vector NLS model. Multi-soliton solution of the equation is\nalso derived by using inverse scattering method of ZS scheme. We also find that\nthere is an elastic and inelastic collision of the bright and dark\nmulti-solitons of the system.",
"arxiv_id": "solv-int/9902010",
"authors": [
"Freddy P. Zen",
"Hendry I. Elim"
],
"categories": [
"solv-int",
"adap-org",
"hep-th",
"math-ph",
"math.DS",
"math.MP",
"nlin.AO",
"nlin.PS",
"nlin.SI",
"patt-sol"
],
"title": "Lax Pair Formulation and Multi-soliton Solution of the Integrable Vector Nonlinear Schrodinger Equation",
"url": "https://arxiv.org/abs/solv-int/9902010"
},
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