Stable 2D localized modes in anisotropic media with harmonic and \(\mathcal{PT}\)-symmetric potentials

DOI10.1016/J.CNSNS.2014.07.027zbMath1341.78016OpenAlexW1991773740MaRDI QIDQ907693

Yi-Xiang Chen

Publication date: 26 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.07.027

zbMATH Keywords

nonlinear Schrödinger equationanisotropic medium\(\mathcal{PT}\)-symmetric potential2D spatial localized modes

Mathematics Subject Classification ID

Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08)

Related Items (4)

Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and \(\mathcal{PT}\)-symmetric potentials ⋮ Spatiotemporal soliton structures in \((3+1)\)-dimensional \(\mathcal{PT}\)-symmetric nonlinear couplers with gain and loss ⋮ Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrödinger equations from inhomogeneous femtosecond optical fibers ⋮ Solitons and quasi-periodic behaviors in an inhomogeneous optical fiber

Cites Work

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• Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
• 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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