Multi wave, kink, breather, Peregrine-like rational and interaction solutions for the concatenation model

Under investigation is a concatenation model having Kerr law of nonlinearity. This model encompasses nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel model and Sasa–Satsuma equation. A variety of analytical solutions are recovered with the help of ansatz functions and logarithmic transformation. These solutions that emerge from ansatz functions include multi-waves, two solitary wave solutions, breather waves, periodic cross kink solutions as well as Peregrine-like rational solutions. Propagation characteristics of the solutions revealed are also displayed with numerical simulations.