dorsal/arxiv
View SchemaCriterion and Regions of Stability for Quasi-Equidistant Soliton Trains
| Authors | V. S. Gerdjikov, E. G. Evstatiev, D. J. Kaup, G. L. Diankov, I. M. Uzunov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9708004 |
| URL | https://arxiv.org/abs/solv-int/9708004 |
Abstract
Using the complex Toda chain (CTC) as a model for the propagation of the N-soliton pulse trains of the nonlinear Schrodinger (NLS) equation, we predict the asymptotic behavior of these trains. The following asymptotic regimes are stable: (i)~asymptotically free propagation of all N solitons; (ii)~bound state regime where the N solitons may move quasi-equidistantly (QED); and (iii)~various different combinations of (i) and (ii). For N=2 and 3 we determine analytically the set of initial soliton parameters corresponding to each of these regimes. We find excellent agreement between the solutions of CTC and NLS for all regimes and propose realistic choices for the sets of amplitudes, for which the solitons propagate QED to very large run lengths. This is of importance for optical fiber communication.
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"abstract": "Using the complex Toda chain (CTC) as a model for the propagation of the\nN-soliton pulse trains of the nonlinear Schrodinger (NLS) equation, we predict\nthe asymptotic behavior of these trains. The following asymptotic regimes are\nstable: (i)~asymptotically free propagation of all N solitons; (ii)~bound state\nregime where the N solitons may move quasi-equidistantly (QED); and\n(iii)~various different combinations of (i) and (ii). For N=2 and 3 we\ndetermine analytically the set of initial soliton parameters corresponding to\neach of these regimes. We find excellent agreement between the solutions of CTC\nand NLS for all regimes and propose realistic choices for the sets of\namplitudes, for which the solitons propagate QED to very large run lengths.\nThis is of importance for optical fiber communication.",
"arxiv_id": "solv-int/9708004",
"authors": [
"V. S. Gerdjikov",
"E. G. Evstatiev",
"D. J. Kaup",
"G. L. Diankov",
"I. M. Uzunov"
],
"categories": [
"solv-int",
"nlin.PS",
"nlin.SI",
"patt-sol"
],
"title": "Criterion and Regions of Stability for Quasi-Equidistant Soliton Trains",
"url": "https://arxiv.org/abs/solv-int/9708004"
},
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