dorsal/arxiv
View SchemaIntegrable semi-discretization of the coupled nonlinear Schr\"{o}dinger equations
| Authors | T. Tsuchida, H. Ujino, M. Wadati |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9903013 |
| URL | https://arxiv.org/abs/solv-int/9903013 |
| DOI | 10.1088/0305-4470/32/11/016 |
| Journal | J. Phys. A: Math. Gen. 32 (1999) 2239-2262 |
Abstract
A system of semi-discrete coupled nonlinear Schr\"{o}dinger equations is studied. To show the complete integrability of the model with multiple components, we extend the discrete version of the inverse scattering method for the single-component discrete nonlinear Schr\"{o}dinger equation proposed by Ablowitz and Ladik. By means of the extension, the initial-value problem of the model is solved. Further, the integrals of motion and the soliton solutions are constructed within the framework of the extension of the inverse scattering method.
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"abstract": "A system of semi-discrete coupled nonlinear Schr\\\"{o}dinger equations is\nstudied. To show the complete integrability of the model with multiple\ncomponents, we extend the discrete version of the inverse scattering method for\nthe single-component discrete nonlinear Schr\\\"{o}dinger equation proposed by\nAblowitz and Ladik. By means of the extension, the initial-value problem of the\nmodel is solved. Further, the integrals of motion and the soliton solutions are\nconstructed within the framework of the extension of the inverse scattering\nmethod.",
"arxiv_id": "solv-int/9903013",
"authors": [
"T. Tsuchida",
"H. Ujino",
"M. Wadati"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0305-4470/32/11/016",
"journal_ref": "J. Phys. A: Math. Gen. 32 (1999) 2239-2262",
"title": "Integrable semi-discretization of the coupled nonlinear Schr\\\"{o}dinger equations",
"url": "https://arxiv.org/abs/solv-int/9903013"
},
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