Bright and dark soliton solutions to coupled nonlinear Schrodinger equations
- 7 May 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (9) , 2683-2692
- https://doi.org/10.1088/0305-4470/28/9/025
Abstract
A set of two coupled nonlinear Schrodinger equations (CNLS) describes the two mode propagation in an optical fibre. The Painleve singularity structure analysis singles out two integrable parametric choices, including the Manakov model. Using the results of Painleve analysis, we succeed in Hirota bilinearizing the CNLS equations in both the anomalous as well as normal dispersion regions for the integrable cases. Solving the Hirota bilinear equations, bright and dark N-soliton solutions are explicitly obtained.Keywords
This publication has 14 references indexed in Scilit:
- Soliton trapping and daughter waves in the Manakov modelPhysical Review A, 1993
- Vector dark solitonsOptics Letters, 1993
- Stability of vector solitons in optical fibersOptics Letters, 1992
- Dynamics of coupled solitons in nonlinear optical fibersPhysical Review A, 1990
- Polarization instabilities of dark and bright coupled solitary waves in birefringent optical fibersPhysical Review A, 1990
- Dynamics of coupled dark and bright optical solitonsOptics Letters, 1989
- Stability of solitons in birefringent optical fibers I: Equal propagation amplitudesOptics Letters, 1987
- Painleve analysis and integrability of coupled non-linear Schrodinger equationsJournal of Physics A: General Physics, 1986
- To the integrability of the system of two coupled nonlinear Schrödinger equationsPhysica D: Nonlinear Phenomena, 1982
- A Variety of Nonlinear Network Equations Generated from the Bäcklund Transformation for the Toda LatticeProgress of Theoretical Physics Supplement, 1976