Solitons in \(\mathcal{PT}\)-symmetric systems with spin-orbit coupling and critical nonlinearity

DOI10.1016/J.CNSNS.2022.106282MaRDI QIDQ6495272

Gennadiy Burlak, Zhaopin Chen, Boris A. Malomed

Publication date: 30 April 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

spin-orbit interactionparity-time symmetryquintic nonlinearityTownes solitonsdual-core waveguides

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) General topics in optics and electromagnetic theory (78Axx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• The nonlinear Schrödinger equation. Singular solutions and optical collapse
• \({\mathcal{PT}}\)-symmetric periodic optical potentials
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Spinor solitons and their \(\mathcal{PT}\)-symmetric offspring
• Existence threshold for the ac-driven damped nonlinear Schrödinger solitons
• Dynamical control of solitons in a parity-time-symmetric coupler by periodic management
• Stabilization of one-dimensional Townes solitons by spin-orbit coupling in a dual-core system
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Travelling solitons in the externally driven nonlinear Schrödinger equation
• 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
• Optical lattices with PT symmetry are not transparent
• Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves
• Physical realization of -symmetric potential scattering in a planar slab waveguide
• Nonlinear Schrödinger equation for a ${\mathcal{PT}}$-symmetric delta-function double well
• Exceptional points in optics and photonics
• Soliton control with inhomogeneous dispersion under the influence of tunable external harmonic potential
• Solitons in ${\mathscr{P}}{\mathscr{T}}$-symmetric ladders of optical waveguides

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