Stability of Gaussian-type light bullets in the cubic-quintic-septimal nonlinear media with different diffractions under PI-symmetric potentials

From the governing equation PI-dimensional nonlinear Schrodinger equation with cubic-quintic-septimal nonlinearities, different diffractions and PI-symmetric potentials, we obtain two kinds of analytical Gaussian-type light bullet solutions. The septimal nonlinear term has a strong impact on the formation of light bullets. The eigenvalue method and direct numerical simulation to analytical solutions imply that stable and unstable evolution of light bullets against white noise attributes to the coaction of cubic-quintic-septimal nonlinearities, dispersion, different diffractions and PI-symmetric potential.