GLOBAL EXISTENCE AND UNIQUENESS FOR AN OPTICAL-FIBER LASER MODEL

Authors
MIELKE A HOLMES P KUTZ JN
Citation
A. Mielke et al., GLOBAL EXISTENCE AND UNIQUENESS FOR AN OPTICAL-FIBER LASER MODEL, Nonlinearity (Bristol. Print), 11(6), 1998, pp. 1489-1504
Citations number
12
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity (Bristol. Print) → ACNP
ISSN journal
09517715
Volume
11
Issue
6
Year of publication
1998
Pages
1489 - 1504
Database
ISI
SICI code
0951-7715(1998)11:6<1489:GEAUFA>2.0.ZU;2-F
Abstract
We prove global existence and uniqueness of solutions for a modified n onlinear Schrodinger equation modelling pulse propagation in an optica l fibre laser. Pulse shaping is achieved by a saturable Bragg reflecto r: a device modelled here by nonlocal, nonlinear terms. Our results re ly only on general model properties and are not limited to the specifi c case discussed. We discuss stability and bifurcation from the trivia l solution and chirped soliton solutions in a special case. Numerical illustrations are provided.