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

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arxiv 2104.04287 v2 pith:OVVZKVPN submitted 2021-04-09 nlin.PS physics.optics

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 This is my paper
classification nlin.PS physics.optics
keywords modesbarrierbubblesformfractionalkerrnumericalpotential
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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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