Abstract
Optical spatial solitons have been subject of intense research over the past years due to their natural potential to control light by light and become essential for the future of all-optical technologies. We report soliton solutions in optical lattices completely described by Hermite-Gaussian beams for the (1+1)D case that are stable if their power remains below a critical threshold value. The pure local nonlinear system studied here can mimic, up to certain extent, a strongly nonlocal medium. We conclude that our methodology of imposing an optical lattice as a restriction on the nonlinear Schrodinger equation can be used to generate new families of solutions by taking advantage of different restrictions.