dorsal/arxiv
View SchemaA New Class of Optical Solitons
| Authors | Sasanka Ghosh, Sudipta Nandy |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9907003 |
| URL | https://arxiv.org/abs/solv-int/9907003 |
Abstract
Existence of a new class of soliton solutions is shown for higher order nonlinear Schrodinger equation, describing thrid order dispersion, Kerr effect and stimulated Raman scattering. These new solutions have been obtaiened by invoking a group of nonlinear transformations acting on localised stable solutions. Stability of these solutions has been studied for different values of the arbitrary coefficients, involved in the recursion relation and consequently, different values of coefficient lead to different transmission rates for almost same input power. Another series solution containing even powers of localised stable solution is shown to exist for higher order nonlinear Schrodinger equation.
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"abstract": "Existence of a new class of soliton solutions is shown for higher order\nnonlinear Schrodinger equation, describing thrid order dispersion, Kerr effect\nand stimulated Raman scattering. These new solutions have been obtaiened by\ninvoking a group of nonlinear transformations acting on localised stable\nsolutions. Stability of these solutions has been studied for different values\nof the arbitrary coefficients, involved in the recursion relation and\nconsequently, different values of coefficient lead to different transmission\nrates for almost same input power. Another series solution containing even\npowers of localised stable solution is shown to exist for higher order\nnonlinear Schrodinger equation.",
"arxiv_id": "solv-int/9907003",
"authors": [
"Sasanka Ghosh",
"Sudipta Nandy"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "A New Class of Optical Solitons",
"url": "https://arxiv.org/abs/solv-int/9907003"
},
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