Spatiotemporal localized modes in \(\mathcal{PT}\)-symmetric optical media

DOI10.1016/j.aop.2014.05.023zbMath1343.35218OpenAlexW2005674403MaRDI QIDQ305220

Yue-Yue Wang, Chao-Qing Dai, Xiao-Gang Wang

Publication date: 29 August 2016

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2014.05.023

zbMATH Keywords

nonlinear Schrödinger equationparity-time symmetric potentialspatiotemporal localized mode

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of hypergeometric functions (33C90)

Related Items

Optical solitons in nonlinear directional couplers by sine-cosine function method and Bernoulli's equation approach, Control and management of the combined Peregrine soliton and Akhmediev breathers in \({\mathcal{PT}}\)-symmetric coupled waveguides, Effect of power-law nonlinearity on ${ \mathcal P }{ \mathcal T }$-symmetric optical system with fourth-order diffraction, The fractional dimensional spatiotemporal accessible solitons supported by PT-symmetric complex potential, Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials

Cites Work

• Nonlinear localized modes in \(\mathcal{PT}\)-symmetric optical media with competing gain and loss
• Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
• Complex Extension of Quantum Mechanics
• 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