dorsal/arxiv
View SchemaOptical Solitary Waves in the Higher Order Nonlinear Schrodinger Equation
| Authors | M. Gedalin, T. C. Scott, Y. B. Band |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9612004 |
| URL | https://arxiv.org/abs/patt-sol/9612004 |
| DOI | 10.1103/PhysRevLett.78.448 |
Abstract
We study solitary wave solutions of the higher order nonlinear Schrodinger equation for the propagation of short light pulses in an optical fiber. Using a scaling transformation we reduce the equation to a two-parameter canonical form. Solitary wave (1-soliton) solutions exist provided easily met inequality constraints on the parameters in the equation are satisfied. Conditions for the existence of N-soliton solutions (N>1) are determined; when these conditions are met the equation becomes the modified KdV equation. A proper subset of these conditions meet the Painleve plausibility conditions for integrability.
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"abstract": "We study solitary wave solutions of the higher order nonlinear Schrodinger\nequation for the propagation of short light pulses in an optical fiber. Using a\nscaling transformation we reduce the equation to a two-parameter canonical\nform. Solitary wave (1-soliton) solutions exist provided easily met inequality\nconstraints on the parameters in the equation are satisfied. Conditions for the\nexistence of N-soliton solutions (N\u003e1) are determined; when these conditions\nare met the equation becomes the modified KdV equation. A proper subset of\nthese conditions meet the Painleve plausibility conditions for integrability.",
"arxiv_id": "patt-sol/9612004",
"authors": [
"M. Gedalin",
"T. C. Scott",
"Y. B. Band"
],
"categories": [
"patt-sol",
"nlin.PS",
"nlin.SI",
"solv-int"
],
"doi": "10.1103/PhysRevLett.78.448",
"title": "Optical Solitary Waves in the Higher Order Nonlinear Schrodinger Equation",
"url": "https://arxiv.org/abs/patt-sol/9612004"
},
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