Optical soliton solutions of the nonlinear coupled Konno–Oono system by using the new analytical approach and modulation instability analysis

This study primarily aims to apply the Riccati equation rational expansion method (REREM) to the nonlinear coupled Konno-Oono system (NCKOS) in order to construct novel and flexible optical soliton solutions. In addition, the modulation instability of the NCKOS is examined. The NCKOS represents current-field strings that interact with an external magnetic field. By employing REREM, we obtain various new types of solutions, including hyperbolic, bright, dark, periodic, kink and anti-kink, peakon, bell-shaped, and many other solitary wave structures. Several physical illustrations of some of the derived solutions are provided to enhance clarity. The findings demonstrate that the proposed technique is more powerful, efficient, and effective for investigating the solutions of other complex nonlinear models. Furthermore, the newly obtained solutions have potential applications in hydrodynamics, solid-state physics, cosmology, ecology, and quantum electronics.