The nonlinear Schrdinger equation(NLSE) including cubic-quintic nonlinearity and Kerr dispersion term is solved by variational method. Evolution equations of Gaussian pulse parameters versus propagation distance with different parameters are derived. Results show that under certain conditions, the pulses propagate stably in the form of breather within a certain distance. Under the strong Kerr dispersion effect, the intensity change of solitons will increase, and the peaks will become sharp during propagation.