dorsal/arxiv
View SchemaNew Integrable Coupled Nonlinear Schrodinger Equations
| Authors | Hendry I. Elim |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9907007 |
| URL | https://arxiv.org/abs/solv-int/9907007 |
Abstract
Two types of integrable coupled nonlinear Schrodinger (NLS) equations are derived by using Zakharov-Shabat (ZS) dressing method.The Lax pairs for the coupled NLS equations are also investigated using the ZS dressing method. These give new types of the integrable coupled NLS equations with certain additional terms. Then, the exact solutions of the new types are obtained. We find that the solution of these new types do not always produce a soliton solution even they are the kind of the integrable NLS equations.
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"abstract": "Two types of integrable coupled nonlinear Schrodinger (NLS) equations are\nderived by using Zakharov-Shabat (ZS) dressing method.The Lax pairs for the\ncoupled NLS equations are also investigated using the ZS dressing method. These\ngive new types of the integrable coupled NLS equations with certain additional\nterms. Then, the exact solutions of the new types are obtained. We find that\nthe solution of these new types do not always produce a soliton solution even\nthey are the kind of the integrable NLS equations.",
"arxiv_id": "solv-int/9907007",
"authors": [
"Hendry I. Elim"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "New Integrable Coupled Nonlinear Schrodinger Equations",
"url": "https://arxiv.org/abs/solv-int/9907007"
},
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