Solitons stabilization in PT symmetric potentials through modulation the shape of imaginary component

Stability and dynamics of PT symmetric fundamental bright solitons supported by localized potentials in a focusing Kerr medium are investigated numerically. How the shape and magnitude of the imaginary component affect soliton stability is addressed when fixed real part of the potentials. The unbroken PT symmetry in linear case and stable region in nonlinear case are discussed. Numerical simulations proved that solitons can propagate stably when the loss or gain distribution become narrower. So we can stabilize the solitons through modulation the shape of imaginary component, and can use the method for solitons formation and control in other nonlinear media with PT potentials.