Effect of coherence relaxation on the propagation of optical solitons: An analytical and numerical case study on asymptotic perturbation theory
type: Item
instance of: scholarly article
title: Effect of coherence relaxation on the propagation of optical solitons: An analytical and numerical case study on asymptotic perturbation theory
zbMATH Open document ID: 0613.35007
DOI: 10.1016/0167-2789(86)90045-X
author: Kai Drühl
author: Gabriella Alsing
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: The authors study the propagation of a real soliton in the presence of collisional coherence decay. The damping term in the nonlinear scattering equation is treated as a small perturbation. By using Kaup's formulation on asymptotic perturbation theory and the symmetry properties of the related sine-Gordon equation, in case the contribution of the continuous spectrum is neglected, the soliton parameters are calculated both to first order and to all orders in the coupling constant. Numerical results confirm the validity of the latter results.
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3991991
zbMATH Keywords: propagation
zbMATH Keywords: real soliton
zbMATH Keywords: collisional coherence decay
zbMATH Keywords: nonlinear scattering
zbMATH Keywords: small perturbation
zbMATH Keywords: Kaup's formulation
zbMATH Keywords: asymptotic perturbation theory
zbMATH Keywords: symmetry
zbMATH Keywords: sine-Gordon equation
MaRDI profile type: Publication
cites work: A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
full work available at URL: 0167-2789(86)90045-x
OpenAlex ID: W2038460776
description: scientific article; zbMATH DE number 3991991