Simulation of instability of bright solitons for NLS with saturating nonlinearity
The paper deals with the generalized 1 + 1 nonlinear Schrodinger equation iu(t) + u(xx) + /u/(2p)u - alpha /u/(2q) u = 0, alpha > 0, q > p, which is the model of laser propagation throughout nonlinear optic materials with a saturation. We are focus on the numerical study of the effect of soliton's "self-compression" under small perturbations and on the trapping phenomena due to collisions. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
simulation solitons laser propagation