  The existence and stability of fundamental, dipole, and tripole solitons in
Kerr nonlinear media with parity-time symmetric Gaussian complex potentials are
reported. Fundamental solitons are stable not only in deep potentials but also
in shallow potentials. Dipole and tripole solitons are stable only in deep
potentials, and tripole solitons are stable in deeper potentials than for
dipole solitons. The stable regions of solitons increase with increasing
potential depth. The power of solitons increases with increasing propagation
constant or decreasing modulation depth of the potentials.
