Nonautonomous spatiotemporal localized structures in the inhomogeneous optical fibers: interaction and control

DOI10.1016/j.aop.2010.11.005zbMath1221.78026OpenAlexW1979938817MaRDI QIDQ2431323

Chao-Qing Dai, Xiao-Gang Wang, Jie-Fang Zhang

Publication date: 13 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.aop.2010.11.005

zbMATH Keywords

nonlinear Schrödinger equationsolitonsrogue wavescnoidal waves

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (8)

Spatiotemporal soliton structures in \((3+1)\)-dimensional \(\mathcal{PT}\)-symmetric nonlinear couplers with gain and loss ⋮ An analysis of spatiotemporal localized solutions in the variable coefficients (3 + 1)-dimensional nonlinear Schrödinger equation with six different forms of dispersion parameters ⋮ Traveling-waves and solitons in a generalized time-variable coefficients nonlinear Schrödinger equation with higher-order terms ⋮ Quasi-two-dimensional Bose-Einstein condensates with spatially modulated cubic-quintic nonlinearities ⋮ Excitation manipulation of three-dimensional completely localized rogue waves in a partially nonlocal and inhomogeneous nonlinear medium ⋮ Matter rogue waves and management by external potentials for coupled Gross-Pitaevskii equation ⋮ Excitation control for three-dimensional Peregrine solution and combined breather of a partially nonlocal variable-coefficient nonlinear Schrödinger equation ⋮ Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation

Cites Work

• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Water waves, nonlinear Schrödinger equations and their solutions
• Rogue waves, rational solutions, the patterns of their zeros and integral relations
• The dark soliton on a cnoidal wave background

This page was built for publication: Nonautonomous spatiotemporal localized structures in the inhomogeneous optical fibers: interaction and control