Nonlinear tunnelling of spatial solitons in PTPT-symmetric potential

Based on spatial soliton solution of a (2+1)-dimensional inhomogeneous nonlinear Schrödinger equation in the presence of the parity-time symmetric potential, we discuss nonlinear tunnelling effect when spatial soliton passes through the diffraction well and diffraction barrier. When the spatial soliton passes through the diffraction well, the nonlinear tunnelling effect happens, that is, its amplitude diminishes and after the well, its amplitude then adds. When the spatial soliton passes through the diffraction barrier, the nonlinear tunnelling effect does not happen.