Effects of saturable function in three-core PIM-NIM-PIM coupler through modulation instability

Abstract

We consider a model of three-core PIM-NIM-PIM coupler with Kerr-type saturable nonlinearity to study both analytically and numerically saturation effects on the modulational instability phenomenon. The analytical results show us that, in presence of saturable parameter in normal and anomalous dispersion regime it is formed some new instability bands compare to Shafeeque et al (2015) in absence of saturable parameter. It is clearly also show that Power and nonlinears parameters can be used to control MI. Through numerical simulation, the generation of periodic soliton with a growing amplitude are obtained in absence of nonlinear saturation. However in presence of saturable parameter the train of soliton obtained turns into a turbulent state after certain propagations distance.