title: Solitary pulses in an amplified nonlinear dispersive medium.
abstract: An analytical solution is obtained for solitary pulse propagation in an amplified nonlinear dispersive system. For a homogeneously broadened gain medium, this solitary pulse has a hyperbolic secant amplitude and a hyperbolic tangent instantaneous frequency variation. The pulse is a gain-guided pulse in either the positive or the negative dispersion regime as well as in the self-focusing or self-defocusing regime. A dark solitary pulse that has a hyperbolic tangent amplitude and a similar instantaneous frequency variation is also obtained.
authors.forename: P A
authors.initials: PA
authors.lastname: Bélanger
authors.forename: L
authors.initials: L
authors.lastname: Gagnon
authors.forename: C
authors.initials: C
authors.lastname: Paré