Simulation of instability of bright solitons for NLS with saturating nonlinearity Original Research Article

The paper deals with the generalized 1+1 nonlinear Schrödinger equation iut+uxx+|u|2pu−α|u|2qu=0, α>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.