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Abstract: In this paper, it is discussed that the optical beam with a suitable input powe r propagates in the nonlocal nonlinear media,which is governed by the nonlocal nonlinear Schrdinger equation (NNLSE).A new approxiamate linear model for the NNLSE is presented for the strong nonlocal media with the spatially symmetrica l real response functions by use of Taylor expansion. An exact analytical solut ion with the Hermite-Gaussian form is obtained.It is shown that the solution in the Gaussian form is the lowest-order mode.It is found that the anisomer ousty spatial soliton exists in the strong nonlocal media.