The study focuses on the combination of three mathematical models, namely nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel model, and Sasa–Satsuma model, which is called the concatenation model. The study investigates optical solitons and other exact solutions using a modified extended mapping approach. The solutions derived include bright solitons, dark solitons, combo bright-dark soliton solutions, singular solitons, periodic and singular periodic solutions, exponential and rational solutions, and Jacobi elliptic solutions. The study considers constraints on the parameters to ensure the existence of the obtained soliton solutions. Selected solutions are depicted graphically to demonstrate their physical nature.
