Abstract: “The resonant nonlinear Schrodinger equa-tion (NLSE) having quadratic-cubic nonlinearity for describ-ing pulse phenomena and studied in nonlinear optics. We achieved optical soliton and solitary wave solutions of reso-nant NLSE with quadratic-cubic nonlinearity by employing extended simple equation method, which have key applica-tions in engineering and applied physics. The stability of model is examined by employing the modulation instability analysis, which shows that the obtained exact solutions are stable. We also given the movement of some achieved solu-tions graphically, which facilitates to recognize the physical phenomena s of this nonlinear model.”

Keywords: Extended, Simple, equation, method, nonlinear, schrödinger, equation, quadratic, cubic, nonlinearity, Solitons, periodic, solutions