Two-dimensional solitons in cubic-saturable media with \(\mathcal{PT}\)-symmetric lattices

DOI10.1016/j.chaos.2018.02.019zbMath1390.35045OpenAlexW2789776584MaRDI QIDQ1636958

İlkay Bakırtaş, İzzet Göksel, Nalan Antar

Publication date: 7 June 2018

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.02.019

zbMATH Keywords

\(\mathcal{PT}\)-symmetryoptical solitoncubic-saturable NLS

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08)

Cites Work

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• \(\mathcal{PT}\) symmetric nonlinear optical lattice: analytical solutions
• Exact bright and dark spatial soliton solutions in saturable nonlinear media
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Pseudospectral renormalization method for solitons in quasicrystal lattice with the cubic-quintic nonlinearity
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Doubly periodic waves of a discrete nonlinear Schrodinger system with saturable nonlinearity
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• 𝓟𝓣-symmetric quantum mechanics

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