Self-similar propagation and compression of chirped self-similar waves in asymmetric twin-core fibers with nonlinear gain

Ultrashort-pulse propagation in asymmetric twin-core fiber amplifiers is studied with the aid of self-similarity analysis of the nonlinear Schrodinger-type equation interacting with a source, variable dispersion, variable Kerr nonlinearity, variable gain or loss, and nonlinear gain. Exact chirped pulses that can propagate self-similarly subject to simple scaling rules of this model have been found. It is reported that the pulse position of these chirped pulses can be precisely piloted by appropriately tailoring the dispersion profile. This fact is profitably exploited to achieve optimal pulse compression of these chirped self-similar solutions.