Chirp-free ultra-short pulses in complex nonlinear optical fibers

Chirp-free ultra-short pulses propagating in optical fiber with complex parameters are investigated for the first time. The existence condition for such chirp-free ultrashort pulses is that the imaginary parts of the nonlinear terms, i.e., the nonlinear absorption coefficient (a2i), nonlinear dispersion coefficient (a4i) and imaginary Raman coefficient (a2i) fulfill a linear relationship a2i=a4iω=−23a5iω. Bight solitons can stably propagate in such complex nonlinear optical fiber. It is found that the single Jacobi elliptic function solutions have two free parameters while hybrid Jacobi elliptic function solutions have only one free parameter.