Stable high-order solitons in spiral potentials

Fuente: arXiv
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Autores principales: Dong, Liangwei, Deng, Jingyi, Huang, Changming, Malomed, Boris A.
Formato: Preprint
Publicado: 2026
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author Dong, Liangwei
Deng, Jingyi
Huang, Changming
Malomed, Boris A.
author_facet Dong, Liangwei
Deng, Jingyi
Huang, Changming
Malomed, Boris A.
contents We present a comprehensive study of optical solitons supported by spiral potentials in media with the cubic-quintic (CQ) nonlinearity. A variety of families of stationary states, including fundamental and high-order (excited) in-phase, out-of-phase, and hybrid-phase ones, are found. The linear stability analysis, corroborated by direct simulations, demonstrates that all upper-branch nonlinear states in potentials with different azimuthal indices are \emph{completely stable}, which rarely occurs in soliton physics. Our findings suggest spiral potentials as an effective means for multistable optical trapping, with potential applications in all-optical data processing.
format Preprint
id arxiv_https___arxiv_org_abs_2604_00446
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stable high-order solitons in spiral potentials
Dong, Liangwei
Deng, Jingyi
Huang, Changming
Malomed, Boris A.
Pattern Formation and Solitons
We present a comprehensive study of optical solitons supported by spiral potentials in media with the cubic-quintic (CQ) nonlinearity. A variety of families of stationary states, including fundamental and high-order (excited) in-phase, out-of-phase, and hybrid-phase ones, are found. The linear stability analysis, corroborated by direct simulations, demonstrates that all upper-branch nonlinear states in potentials with different azimuthal indices are \emph{completely stable}, which rarely occurs in soliton physics. Our findings suggest spiral potentials as an effective means for multistable optical trapping, with potential applications in all-optical data processing.
title Stable high-order solitons in spiral potentials
topic Pattern Formation and Solitons
url https://arxiv.org/abs/2604.00446