Optical solitons in erbium-doped fibres with higher-order effects and pumping

DOI10.1088/0305-4470/33/23/311zbMath1004.81044OpenAlexW2005467232MaRDI QIDQ4520573

K. Nakkeeran

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/23/311

zbMATH Keywords

nonlinear Schrödinger equationpumpingBäcklund transformationLax pairMaxwell-Bloch equationsnonlinear wave propagationexact soliton solution

Mathematics Subject Classification ID

Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (11)

MINIMUM LENGTH FOR GETTING OUTPUT SYMMETRIC PULSES IN A DISPERSION-MANAGED DUAL CORE NONLINEAR OPTICAL FIBER ⋮ Smoothing estimates for non-dispersive equations ⋮ Inverse scattering transform and soliton classification of higher-order nonlinear Schrödinger-Maxwell-Bloch equations ⋮ Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell–Bloch system ⋮ Soliton interactions in a generalized inhomogeneous coupled Hirota-Maxwell-Bloch system ⋮ INTEGRABLE ASPECTS AND SOLITON-LIKE SOLUTIONS OF AN INHOMOGENEOUS COUPLED HIROTA–MAXWELL–BLOCH SYSTEM IN OPTICAL FIBERS WITH SYMBOLIC COMPUTATION ⋮ Symbolic computation on the Darboux transformation for a generalized variable-coefficient higher-order nonlinear Schrödinger equation from fiber optics ⋮ New application of the \((G'/G)\)-expansion method ⋮ Propagation of solitary waves in inhomogeneous erbium-doped fibers with third-order dispersion, self-steepening and gain/loss ⋮ A note on some sub-equation methods and new types of exact travelling wave solutions for two nonlinear partial differential equations ⋮ Single and multi-soliton solutions for a spectrally deformed set of Maxwell-Bloch equations

This page was built for publication: Optical solitons in erbium-doped fibres with higher-order effects and pumping