Gaussian-type light bullet solutions of the \((3+1)\)-dimensional Schrödinger equation with cubic and power-law nonlinearities in \(\mathcal{PT}\)-symmetric potentials

DOI10.1016/j.aop.2014.08.016zbMath1360.35258OpenAlexW2074020147MaRDI QIDQ527616

Hai-Ping Zhu, Chao-Qing Dai

Publication date: 12 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.aop.2014.08.016

zbMATH Keywords

nonlinear Schrödinger equationparity-time symmetric potentialGaussian-type light bullet

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (3)

Spatiotemporal soliton structures in \((3+1)\)-dimensional \(\mathcal{PT}\)-symmetric nonlinear couplers with gain and loss ⋮ Control and management of the combined Peregrine soliton and Akhmediev breathers in \({\mathcal{PT}}\)-symmetric coupled waveguides ⋮ Interaction trajectory of solitons in nonlinear media with an arbitrary degree of nonlocality

Cites Work

• Novel rogue waves in an inhomogenous nonlinear medium with external potentials
• Accelerating Airy-Gauss-Kummer localized wave packets
• Soliton solution and bifurcation analysis of the Zakharov-Kuznetsov-Benjamin-Bona-Mahoney equation with power law nonlinearity
• Observation of two soliton propagation in an erbium doped inhomogeneous lossy fiber with phase modulation
• 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
• Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials

This page was built for publication: Gaussian-type light bullet solutions of the \((3+1)\)-dimensional Schrödinger equation with cubic and power-law nonlinearities in \(\mathcal{PT}\)-symmetric potentials