Soliton propagation in a medium with Kerr nonlinearity and resonant impurities: a variational approach.
Using a variational approach we have studied the shape preserving coherent propagation of light pulses in a resonant dispersive medium in the presence of the Kerr nonlinearity. Within the framework of a combined nonintegrable system composed of one nonlinear Schrödinger and a pair of Bloch equations, we show the existence of a solitary wave. We have tested our analytical solution through numerical simulations confirming its solitary wave nature.
Caetano
D P
DP
Departamento de Física, Universidade Federal de Alagoas, Cidade Universitária, AL 57072-970 Maceió, Brazil.
Cavalcanti
S B
SB
Hickmann
J M
JM
Kamchatnov
A M
AM
Kraenkel
R A
RA
Makarova
E A
EA