Modulation instability and solitons on a cw background in inhomogeneous optical fiber media

In this paper, the inhomogeneous nonlinear Schrodinger equation with the loss/gain and the frequency chirping is considered. The N-solitary solution is presented by employing the Darboux transformation. As an example, the explicit soliton solution oil continuous wave (cw) background with the loss/gain and the frequency chirping is generated, and two exact analytic solutions that describe (i) modulation instability and (ii) soliton propagation on a cw background with the loss/gain and the frequency chirping are in detail discussed. (C) 2004 Elsevier B.V. All rights reserved.