Chirped soliton-like solutions of generalized nonlinear Schrödinger equation for pulse propagation in negative index material embedded into a Kerr medium

We investigate the existence of bright, dark solitons and periodic solutions for the generalized nonlinear Schrödinger equation governing the pulse propagation in negative index materials embedded into Kerr medium. It is observed that, depending upon nature of dispersion, all travelling waves propagate with specific value of velocity and initial chirp. For the normal dispersion, the propagating solitons restrict to a unique velocity. On the other hand, for the anomalous dispersion, the velocity belongs to a specific domain. In the anomalous dispersion, negative index materials also allow the propagation of nonlinear periodic waves through them. We have obtained expressions for nonlinear chirp associated with each of these waves. (author)