Power-dependent shaping of solitons in parity time symmetric potentials with spatially modulated nonlinearity

Abstract

We study the families of solitons supported by parity time (PT) symmetric potentials with spatially modulated nonlinearity. The competition between the real part of PT symmetric potentials and out-of-phase nonlinearity modulations can result in remarkable power-dependent shape transformations of solitons and substantially modifies their stability properties. Linear stability analysis reveals that, with the increase of the strength of out-of-phase nonlinearity modulation, the odd soliton’s stability domain deceases, while even for solitons, the reverse applies. The effect of variation of the amplitude of the imaginary part of PT symmetric potential on stability properties of solitons is also studied.