Chirped nonlinear resonant states in femtosecond fiber optics

We show the existence of nonlinear resonant states in a higher-order Schrödinger model that appertains to wave propagation femtosecond fiber optics, under certain parametric regime. These are analytically illustrated terms Gaussian beams, Airy and periodic beams resulted due presence quadratic, linear, constant type ‘smart’ potentials, respectively, ensuing model. Interestingly, chirp associated with each these novel can be efficiently controlled, by varying self-steepening term self-frequency shift. Furthermore, we have conducted numerical experiments corroborative our analytical predictions.