期刊
CHAOS SOLITONS & FRACTALS
卷 157, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.111950
关键词
Dark gap solitons; Fourth-order dispersion; Periodic lattices; Nonlinear Schrodinger equation
资金
- National Natural Science Foun-dation of China (NSFC) [12074423]
This study investigates the existence and stability of dark gap solitons in one-dimensional periodic nonlinear media with second-order and fourth-order dispersions. The research finds that the stability of solitons is significantly affected by normal and anomalous fourth-order dispersion.
The studies of solitons are usually confined to the models with normal two-order dispersion or diffraction; while recent theoretical predictions and experimental observations have confirmed the important role that the fourth-order dispersion played in, leading to the discovery of a new class of solitons-quartic solitons in fibers. We here theoretically consider the one-dimensional (1D) periodic nonlinear media with both second-order and fourth-order dispersions, and uncover numerically the existence, properties, and stabilities of dark gap solitons populated within the associated linear photonic band gaps. Such gaps, particularly, are affected drastically by normal or anomalous fourth-order dispersion; the dark gap solitons are always found to be unstable for the latter, and are robustly stable and have a wide stability region for the former case, verified by linear-stability analysis and direct perturbed simulations. The obtained results provide insights into physics of dark gap solitons in higher-order dispersion regime. (c) 2022 Elsevier Ltd. All rights reserved.
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