New phase modulated solutions for a higher-order nonlinear Schrodinger equation

Citation
Cn. Kumar et P. Durganandini, New phase modulated solutions for a higher-order nonlinear Schrodinger equation, PRAMANA-J P, 53(2), 1999, pp. 271-277
Citations number
15
Categorie Soggetti
Physics
Journal title
PRAMANA-JOURNAL OF PHYSICS
ISSN journal
03044289 → ACNP
Volume
53
Issue
2
Year of publication
1999
Pages
271 - 277
Database
ISI
SICI code
0304-4289(199908)53:2<271:NPMSFA>2.0.ZU;2-N
Abstract
We present exact stationary phase modulated solitary wave and kink solution s for a higher-order nonlinear Schrodinger equation. These solutions differ from the known solutions in the literature both in phase and amplitude. Th e relevance of these new solutions in the context of propagation of light p ulses in optical fibres is also discussed. In particular, we have shown tha t higher order nonlinear dispersion terms in the nonlinear Schrodinger equa tion can lead to shock wave solutions.