https://doi.org/10.1140/epjp/s13360-024-05873-x
Regular Article
Two-dimensional gap solitons in cubic-quintic nonlinear media with PT-symmetric lattices and fractional diffraction
1
School of Arts and Sciences, Guangzhou Maritime University, 510725, Guangzhou, China
2
College of Science and Engineering, Hamad Bin Khalifa University, 23874, Doha, Qatar
3
Horia Hulubei National Institute of Physics and Nuclear Engineering, 077125, Magurele, Bucharest, Romania
4
School of Computer Science, Guangzhou Maritime University, 510725, Guangzhou, China
5
College of Physics and Optoelectronic Engineering, Shenzhen University, 518060, Shenzhen, China
Received:
19
September
2024
Accepted:
21
November
2024
Published online:
21
December
2024
Gap solitons in two types of cubic-quintic nonlinear media—the competing focusing-defocusing and the cooperative focusing-focusing types—are studied in this work. We discover two families of two-dimensional solitons in the semi-infinite band gap of a PT-symmetric lattice under the cubic-quintic nonlinearity and fractional diffraction. The existence and stability domains of dipole and tripole solitons are examined for different values of various parameters. Interestingly, the Lévy index does not affect much the value of the phase transformation point in the model, but affects more strongly the stability regions of both types of solitons. The stability domains for these solitons are obtained by the linear stability analysis and are confirmed by direct numerical simulations.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
