Nonlinear conical diffraction in fractional dimensions with a \(\mathcal{PT}\)-symmetric optical lattice

DOI10.1016/J.CHAOS.2022.112010zbMath1505.78036OpenAlexW4226510467MaRDI QIDQ2113178

Feng Wen, Kaibo Yang, Xijun Ren, Yagang Zhang, Zhenkun Wu, Yuzong Gu, Lijun Guo

Publication date: 12 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112010

zbMATH Keywords

Kerr nonlinearityconical diffractionparity-time symmetryFloquet-Bloch modes

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Lasers, masers, optical bistability, nonlinear optics (78A60) Fractional partial differential equations (35R11)

Related Items (1)

Conical diffraction modulation in fractional dimensions with a \(\mathcal{PT}\)-symmetric potential

Cites Work

• Existence of weak solutions for a fractional Schrödinger equation
• Fractional quantum mechanics and Lévy path integrals
• Accessible solitons of fractional dimension
• Modulational instability in fractional nonlinear Schrödinger equation
• Complex Extension of Quantum Mechanics
• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• Dislocations in wave trains
• 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

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