Sl. Palacios et Jm. Fernandez-diaz, Bright solitary waves in high dispersive media with parabolic nonlinearitylaw: the influence of third order dispersion, J MOD OPT, 48(11), 2001, pp. 1691-1699
We find exact bright solitary wave solutions of a cubic-quintic nonlinear S
chrodinger equation describing the propagation of extremely short pulses. P
articular cases are discussed. The influence of third order dispersion is n
umerically investigated, showing the pulse stability for relative low value
s of the third order dispersion coefficient. When propagation at the zero d
ispersion point is considered the pulses are always unstable.