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光折变介质中一维晶格中的离散矢量孤子

Discrete vector solitons in one-dimensional lattices in photorefractive media.

作者信息

Fitrakis E P, Kevrekidis P G, Malomed B A, Frantzeskakis D J

机构信息

Department of Physics, University of Athens, Panepistimiopolis, Zografou, Athens 15784, Greece.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Aug;74(2 Pt 2):026605. doi: 10.1103/PhysRevE.74.026605. Epub 2006 Aug 18.

Abstract

We construct families of two-component spatial solitons in a one-dimensional lattice with saturable on-site nonlinearity (focusing or defocusing) in a photorefractive crystal. We identify 14 species of vector solitons, depending on their type (bright/dark), phase (in-phase/staggered), and location on the lattice (on/off-site). Two species of the bright/bright type form entirely stable soliton families, four species are partially stable (depending on the value of the propagation constant), while the remaining eight species are completely unstable. "Symbiotic" soliton pairs (of the bright/dark type), which contain components that cannot exist in isolation in the same model, are found as well.

摘要

我们在具有可饱和在位非线性(聚焦或散焦)的光折变晶体中的一维晶格中构建了双分量空间孤子族。根据其类型(亮/暗)、相位(同相/交错)和在晶格上的位置(在位/离位),我们识别出14种矢量孤子。亮/亮类型的两种形成了完全稳定的孤子族,四种是部分稳定的(取决于传播常数的值),而其余八种是完全不稳定的。还发现了“共生”孤子对(亮/暗类型),其包含在同一模型中不能孤立存在的分量。

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