Generic quartic solitons in optical media

Fuente: arXiv
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Autores principales: Tsoy, Eduard N., Suyunov, Laziz A.
Formato: Preprint
Publicado: 2024
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author Tsoy, Eduard N.
Suyunov, Laziz A.
author_facet Tsoy, Eduard N.
Suyunov, Laziz A.
contents Our analysis suggests strongly that stationary pulses exist in nonlinear media with second-, third-, and fourth-order dispersion. A theory, based on the variational approach, is developed for finding approximate parameters of such solitons. It is obtained that the soliton velocity in the retarded reference frame can be different from the inverse of the group velocity of linear waves. It is shown that the interaction of the pulse spectrum with that of linear waves can affect the existence of stationary solitons. These theoretical results are supported by numerical simulations. Transformations between solitons of different systems are derived. A generalization for solitons in media with the highest even-order dispersion is suggested.
format Preprint
id arxiv_https___arxiv_org_abs_2405_17848
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generic quartic solitons in optical media
Tsoy, Eduard N.
Suyunov, Laziz A.
Pattern Formation and Solitons
Optics
Our analysis suggests strongly that stationary pulses exist in nonlinear media with second-, third-, and fourth-order dispersion. A theory, based on the variational approach, is developed for finding approximate parameters of such solitons. It is obtained that the soliton velocity in the retarded reference frame can be different from the inverse of the group velocity of linear waves. It is shown that the interaction of the pulse spectrum with that of linear waves can affect the existence of stationary solitons. These theoretical results are supported by numerical simulations. Transformations between solitons of different systems are derived. A generalization for solitons in media with the highest even-order dispersion is suggested.
title Generic quartic solitons in optical media
topic Pattern Formation and Solitons
Optics
url https://arxiv.org/abs/2405.17848