dorsal/arxiv
View SchemaMoving Embedded Solitons
| Authors | Alan R Champneys, Boris A Malomed |
|---|---|
| Categories | |
| ArXiv ID | physics/9911043 |
| URL | https://arxiv.org/abs/physics/9911043 |
Abstract
The first theoretical results are reported predicting {\em moving} solitons residing inside ({\it embedded} into) the continuous spectrum of radiation modes. The model taken is a Bragg-grating medium with Kerr nonlinearity and additional second-derivative (wave) terms. The moving embedded solitons (ESs) are doubly isolated (of codimension 2), but, nevertheless, structurally stable. Like quiescent ESs, moving ESs are argued to be stable to linear approximation, and {\it semi}-stable nonlinearly. Estimates show that moving ESs may be experimentally observed as $\sim$10 fs pulses with velocity $\leq 1/10$th that of light.
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"abstract": "The first theoretical results are reported predicting {\\em moving} solitons\nresiding inside ({\\it embedded} into) the continuous spectrum of radiation\nmodes. The model taken is a Bragg-grating medium with Kerr nonlinearity and\nadditional second-derivative (wave) terms. The moving embedded solitons (ESs)\nare doubly isolated (of codimension 2), but, nevertheless, structurally stable.\nLike quiescent ESs, moving ESs are argued to be stable to linear approximation,\nand {\\it semi}-stable nonlinearly. Estimates show that moving ESs may be\nexperimentally observed as $\\sim$10 fs pulses with velocity $\\leq 1/10$th that\nof light.",
"arxiv_id": "physics/9911043",
"authors": [
"Alan R Champneys",
"Boris A Malomed"
],
"categories": [
"physics.optics",
"nlin.PS"
],
"title": "Moving Embedded Solitons",
"url": "https://arxiv.org/abs/physics/9911043"
},
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