title: Soliton propagation in a medium with Kerr nonlinearity and resonant impurities: a variational approach.
abstract: 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.
authors.affiliation: Departamento de Física, Universidade Federal de Alagoas, Cidade Universitária, AL 57072-970 Maceió, Brazil.
authors.forename: D P
authors.initials: DP
authors.lastname: Caetano
authors.forename: S B
authors.initials: SB
authors.lastname: Cavalcanti
authors.forename: J M
authors.initials: JM
authors.lastname: Hickmann
authors.forename: A M
authors.initials: AM
authors.lastname: Kamchatnov
authors.forename: R A
authors.initials: RA
authors.lastname: Kraenkel
authors.forename: E A
authors.initials: EA
authors.lastname: Makarova