Gaussian solitons in nonlocal media: variational analysis

Exact solutions of Gaussian solitons in nonlinear media with aGaussian nonlocal response are obtained. Using the variationalapproach, we obtain the approximate solutions of such solitons whenthe degree of the nonlocality is arbitrary. Specifically, we studythe conditions for Gaussian solitons that propagate in weaklyand highly nonlocal media. We also compare the variational resultwith the known exact solutions for weakly and highly nonlocal media.