Stabilization of fundamental solitons in the nonlinear fractional Schrödinger equation with \(\text{PT}\)-symmetric nonlinear lattices
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Publication:2128193
DOI10.1016/J.CHAOS.2020.110427zbMath1496.35439OpenAlexW3098465370MaRDI QIDQ2128193
Zhenfen Huang, Weiwei Su, Hanying Deng, Changming Huang, Liangwei Dong
Publication date: 21 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110427
NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)
Related Items (3)
Propagation of three-dimensional optical solitons in fractional complex Ginzburg-Landau model ⋮ The beam control in two-channels PT-symmetric waveguide with fractional diffraction effect ⋮ Fractional-order effect on soliton wave conversion and stability for the two-Lévy-index fractional nonlinear Schrödinger equation with PT-symmetric potential
Cites Work
- Fractional quantum mechanics and Lévy path integrals
- 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
- Symmetry breaking of spatial Kerr solitons in fractional dimension
- Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations
- Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well
- Nonlinear Waves in Integrable and Nonintegrable Systems
- 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
- 𝓟𝓣-symmetric quantum mechanics
- Fractional Calculus
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