Abstract
•Optical solitons to the perturbed nonlinear Schrödinger equation are revealed.•Quadratic-cubic form of nonlinearity is considered and variational approach is implemented.•Super-Gaussian and super-sech solitons are used as envelope of trial function.•The numerical simulations are presented for specific values of the Gaussian and super-sech pulse parameters.•The impact of the quadratic-cubic terms on the evolution of the different parameters dynamics is evaluated.
We apply variational method to the perturbed nonlinear Schrödinger equation having quadratic-cubic form of nonlinearity, to study localized optical pulses. Super-Gaussian and super-sech solitons are used as envelopes for the trial function. Numerical simulations are presented for specific values of the Gaussian and super-sech pulse parameters. The impact of the quadratic-cubic terms on the evolution for different parameters is assessed. In general, when the nonlinear quadratic and cubic coefficients increase, the frequency of the oscillations of the collective variables also increases.