Discrete multipole dark solitons in saturable nonlinearity media with parity-time symmetric lattices

Abstract

We investigate numerically the existence and stability of discrete multipole dark solitons in saturable nonlinearity media with parity-time ( $\mathcal{PT}$ ) symmetric lattices. The dipole and triple solitons share the same existence domain associated with the propagation constant, gain-loss coefficient and the degree of saturable nonlinearity. However, the solitons stably propagate in a different area of the aforementioned three parameters. The beam power monotonously increases with the increase of propagation constant and the saturable degree, but gently decreases with the gain-loss coefficient. Moreover, the power of the triple solitons is higher than that of dipole solitons under the same conditions.