Ultrashort chirp pulses for Kundu–Eckhaus equation in nonlinear optics

In this paper, the Kundu–Eckhaus equation which describes the propagation of ultrashort pulses or femtosecond light pulses in nonlinear optics is investigated using the new mapping method. As a result, different structures of chirped solitary and periodic waves were yielded. The dynamic of the soliton and kink soliton chirp waves were illustrated from which we can conclude that the sign of the Raman parameter identifies the chirp wave function direction.