Study on propagation characteristics of temporal soliton in Scarff II PT-symmetric potential based on intensity moments

• (1+1)D variable coefficient GNLSE with Scarff II PT-symmetric potential is solved.
• The temporal soliton solution is found in Scarff II PT-symmetric potential.
• Propagation characteristics of temporal soliton are analyzed by intensity moments.
• Our results will be helpful to manipulation of nonlinear propagation of laser pulses.

When a temporal soliton propagates in the inhomogeneous nonlinear medium with Scarff II parity-time (PT)-symmetric potential, we investigate the propagation characteristics of a temporal soliton based on intensity moments. Under the condition of Scarff II PT-symmetric potential, the propagation characteristics of a temporal soliton are affected by the dispersion coefficient, nonlinear coefficient and chirp. After a detailed analysis of the intensity evolution and the second-order intensity moment parameter, we find that the intensity and pulse width (PW) of a chirped-free temporal soliton are invariant during nonlinear propagation when the dispersion coefficients are the constant, exponential decreasing function and periodic modulated function, respectively. The intensity and PW of a chirped temporal soliton vary periodically when the dispersion coefficient is a periodic modulated function. So the chirp has no effect on propagation behavior of a temporal soliton. When the dispersion coefficients are the constant or exponential decreasing function, the intensity of a chirped temporal soliton is gradually increased, while the PW of a chirped temporal soliton is gradually decreased. Thus the temporal soliton is compressed and the chirp has a great effect on the propagation behavior of a temporal soliton. The results will be helpful to manipulation of nonlinear propagation of the laser pulses.