Optical solitons with generalized quadratic-cubic nonlinearity

This work obtains soliton solutions to the governing nonlinear Schrodinger's equation by traveling wave hypothesis. The model is considered with the generalized quadratic-cubic nonlinearity that is also a special case of Kudryashov's form of nonlinear refractive index setting the coefficients of nonlinear terms with negative exponents, in Kudryashov's nonlinearity, to zero. Based on the sign of the discriminant, plane waves, bright or singular solitons emerge. Notably, a major shortcoming of this approach is that traveling waves fail to recover dark optical solitons to the model. Thus, traveling wave hypothesis has its own limitations just as various other integrability approaches which has their own shortcomings-a strong message as this paper conveys. The parameter constraints for the existence of these solitons and plane waves are also presented.