Solitons in the system of coupled Hirota-Maxwell-Bloch equations

Citation
K. Porsezian et al., Solitons in the system of coupled Hirota-Maxwell-Bloch equations, CHAOS SOL F, 11(8), 2000, pp. 1261-1264
Citations number
15
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
11
Issue
8
Year of publication
2000
Pages
1261 - 1264
Database
ISI
SICI code
0960-0779(200006)11:8<1261:SITSOC>2.0.ZU;2-W
Abstract
We propose the system of coupled Hirota-Maxwell-Bloch equations which gover ns the propagation of optical pulses in an erbium doped nonlinear fibre wit h higher order dispersion, self-steepening and self induced transparency (S IT) effects. The Lax pair is explicitly constructed and the soliton solutio n is obtained using the Darboux-Backlund transformations. Hence, the system is found to admit soliton type lossless wave propagation. (C) 2000 Elsevie r Science Ltd. All rights reserved.