We present the two-component solutions to a system of differential equations governing the propagation of two beams in the regime of strong nonlocality and small angle perturbation of the crystals using the Jacobi elliptic function (JEF) expansion method. The principle of harmonic balance can be applied to obtain the largest degree of the JEF depending on the form of the nonlinearity. Both solitary and traveling wave solutions are obtained, as well as solutions which contain chirp.