The nonlinear Schrödinger equation with competing cubic–quintic–septic nonlinearities is investigated.
We introduce a new ansatz to obtain the nonlinear chirp associated with the propagating soliton pulses.
Chirped bright, dark, kink and fractional-transform soliton solutions are derived.
The parameter domains in which these optical solitons exist are reported.
The nonlinear chirp associated with each of the solitonic solutions is determined.