Optical solitons for dispersive concatenation model with Kerr law nonlinearity by the complete discriminant method

This paper is about the retrieval of optical solitons for the dispersive concatenation model with Kerr law nonlinearity by the complete discriminant method. The variety of cases depending on the sign of the discriminant from the quadrature leads to the emergence of dark and singular solitons, cnoidal waves, straddled cnoidal waves, and rational waves. The parameter constraints are also included to guarantee the existence of the respective solitons and waves.