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

DOI10.1016/J.CHAOS.2022.112631OpenAlexW4295190155WikidataQ114198960 ScholiaQ114198960MaRDI QIDQ2680039

Yanyan Li

Publication date: 26 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.2022.112631

zbMATH Keywords

conical diffractionfractional Schrödinger equationparity-time symmetryFloquet-Bloch modes

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

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
• Nonlinear conical diffraction in fractional dimensions with a \(\mathcal{PT}\)-symmetric optical lattice
• Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation
• Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
• Quadratic fractional solitons
• Propagation dynamics of radially polarized symmetric Airy beams in the fractional 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
• Relativistic harmonic oscillator
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• 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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