Gap-soliton bullets in waveguide gratings

DOI10.1016/j.physd.2003.09.046zbMath1050.78006OpenAlexW2106725136MaRDI QIDQ1885885

Boaz Ilan, Gadi Fibich, Alejandro B. Aceves

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2003.09.046

zbMATH Keywords

Nonlinear Schrödinger equationGap solitonWaveguide gratings

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (7)

Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential ⋮ Coupled mode equations and gap solitons for the 2D Gross-Pitaevskii equation with a non-separable periodic potential ⋮ Dirac light bullets in nonlinear binary waveguide arrays ⋮ Bifurcation of solitary and periodic waves of an extended cubic-quintic Schrödinger equation with nonlinear dispersion effects governing modulated waves in a bandpass inductor-capacitor network ⋮ A simple ansatz for obtaining exact solutions of high dispersive nonlinear Schrödinger equations in fiber Bragg gratings ⋮ Raman perturbation and surface core soliton in hollow photonic crystal fiber ⋮ Stability of nonparaxial gap-soliton bullets in waveguide gratings

Cites Work

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• Stability of isotropic singularities for the nonlinear Schrödinger equation
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Optical gap solitons: Past, present, and future; theory and experiments
• From parametric gap solitons to chaos by means of second-harmonic generation in Bragg gratings
• Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension
• Vectorial and random effects in self-focusing and in multiple filamentation

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