Fundamental, dipole, and vortex solitons in fractional nonlinear Schrödinger equation with a parity-time-symmetric periodic potential
DOI10.1016/J.PHYSD.2023.133966MaRDI QIDQ6198211
Shu-Min Chen, Yunli Qiu, Xi Peng, Xing Zhu, Yingji He
Publication date: 21 February 2024
Published in: Physica D (Search for Journal in Brave)
Processes with independent increments; Lévy processes (60G51) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Fractional quantum mechanics and Lévy path integrals
- Modulational instability in fractional nonlinear Schrödinger equation
- Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity
- Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential
- Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices
- Truncated-Bloch-wave solitons in nonlinear fractional periodic systems
- Nonlinear Waves in Integrable and Nonintegrable Systems
- 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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