  An perturbation-iteration method is developed for the computation of the
Hermite-Gaussian-like solitons with arbitrary peak numbers in nonlocal
nonlinear media. This method is based on the perturbed model of the
Schr\"{o}dinger equation for the harmonic oscillator, in which the minimum
perturbation is obtained by the iteration. This method takes a few tens of
iteration loops to achieve enough high accuracy, and the initial condition is
fixed to the Hermite-Gaussian function. The method we developed might also be
extended to the numerical integration of the Schr\"{o}dinger equations in any
type of potentials.
