Bubbles and W-shaped solitons in Kerr media with fractional diffraction
Pattern Formation and Solitons
2021-11-02 v2 Optics
Abstract
We demonstrate that, with the help of a Gaussian potential barrier, dark modes in the form of a local depression ("bubbles") can be supported by the repulsive Kerr nonlinearity in combination with fractional dimension. Similarly, W-shaped modes are supported by a double potential barrier. Families of the modes are constructed in a numerical form, and also by means of the Thomas-Fermi and variational approximations. All these modes are stable, which is predicted by computation of eigenvalues for small perturbations and confirmed by direct numerical simulations.
Keywords
Cite
@article{arxiv.2104.04287,
title = {Bubbles and W-shaped solitons in Kerr media with fractional diffraction},
author = {Liangwei Zeng and Boris A. Malomed and Dumitru Mihalache and Yi Cai and Xiaowei Lu and Qifan Zhu and Jingzhen Li},
journal= {arXiv preprint arXiv:2104.04287},
year = {2021}
}
Comments
to be published in Nonlinear Dynamics