Transition from bird to butterfly shaped nonautonomous soliton and soliton switching in erbium doped resonant fiber

Through theoretical approach, two soliton solutions for nonautonomous inhomogeneous nonlinear Schrodinger - Maxwell Bloch (INLS-MB) equation is attained with the aid of Darboux transformation technique. Based on obtained solutions, bird and butterfly like wave pattern are attained for the specific choice of inhomogeneous coefficients. Especially, by means of dispersion management scheme, exponential profile is adopted for the dispersion coefficient in the governing two soliton solutions. Also, through the appropriate choices of control parameters in inhomogeneous function, the transition from bird shaped to butterfly shaped pulse is observed astoundingly. Finally, nonautonomous soliton switching achieved through soliton fission and fusion phenomenon which could be observed via properly manipulating dispersion and nonlinearity parameters. The obtained analytical results and graphical illustrations are may helpful for the design of soliton control system in fiber optic communication and soliton based optical switching.