Stable solitons in the one- and two-dimensional generalized cubic-quintic nonlinear Schrödinger equation with fourth-order diffraction and 𝒫𝒯-symmetric potentials

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Vol. 74; no. 2
• Main Authors: Tchepemen Nkouessi, Nathan, Tiofack Latchio, Gaston Camus, Mohamadou, Alidou
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-02-2020
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Molecular; Optical and Plasma Physics; Physical Chemistry; Physics; Physics and Astronomy; Quantum Information Technology; Quantum Physics; Regular Article; Spectroscopy/Spectrometry; Spintronics; Optical Phenomena and Photonics
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/e2020-100428-8

Both one-dimensional and two-dimensional localized mode families in parity-time (𝒫𝒯)-symmetric potentials with competing cubic-quintic nonlinearities and higher-order diffraction are reported. In particular, we investigate the role played by the competing nonlinearities and fourth-order diffraction parameter on the beam dynamics in the generalized 𝒫𝒯-symmetric Scarf potentials. The numerical fundamental soliton in competing nonlinearities (1-D double peaked solitons) can be found to be stable around the propagation parameter for exact soliton. A linear stability analysis corroborated by direct numerical simulation reveals that the regions of stability of these solutions can be controlled by tuning the values of the FOD parameters as well as by tuning the sign of the cubic and quintic nonlinearities. In particular, we have shown that the FOD parameter can be used to provide the restoration of the stability of the solitons.
Graphical abstract