We investigate the stable propagation of 1D and 2D optical solitons in nonlinear Schrödinger equation with fourth-order diffraction and self-focusing power-law nonlinearity in the presence of complex generalized Scarff-II \(\mathcal{P}\mathcal{T}\) -symmetric potential. Using both analytical and numerical techniques, we identified that the stability of the 1D and 2D optical solitons are determined by the strength of the fourth-order diffraction. For weak fourth-order diffraction, the stable and unstable optical solitons are observed for various ranges of localization parameter which is present in the considered complex \(\mathcal{P}\mathcal{T}\) -symmetric potential. The soliton is stable for almost all the values of the localization parameter with strong fourth-order diffraction. We have also discussed the impact of power-law nonlinearity on the stability of 1D and 2D optical solitons. The stable dynamical evolution of 1D and 2D optical solitons is also shown for both weak and strong fourth-order diffraction in the presence of power-law nonlinearity and complex generalized Scarff-II \(\mathcal{P}\mathcal{T}\) -symmetric potential.
