Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis

Abstract

The resonant nonlinear Schrödinger equation (NLSE) having quadratic-cubic nonlinearity for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved optical solitons and solitary waves solutions of resonant NLSE with nonlinearities of quadratic and cubic by employing F-expansion method. In engineering and applied physics, these solutions have important applications. The stability of model is examined by employing the analysis of modulation instability, which shows that the obtained exact solutions are stable. We also given the movement of some achieved solutions graphically, which facilitates to recognize the physical interpretation of this complex nonlinear model. The achieved results confirm that this method is powerful and easy in applying.