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arXiv · 2104.04287

Bubbles and W-shaped solitons in Kerr media with fractional diffraction

Liangwei Zeng·Boris A. Malomed·Dumitru Mihalache·Yi Cai·Xiaowei Lu·Qifan Zhu·Jingzhen Li
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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.

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Liangwei Zeng, Boris A. Malomed, Dumitru Mihalache, Yi Cai, Xiaowei Lu, Qifan Zhu, Jingzhen Li. 2021-04-09. Bubbles and W-shaped solitons in Kerr media with fractional diffraction. https://doi.org/10.1007/s11071-021-06459-3

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