Higher order nonlinear Schro ¨dinger equation including Kerr dispersion term, self-frequency shift (SFS) term caused by intrapulse Raman scattering is solved by variational method. Evolution equations of Gaussian pulse parameters with propagation distance under different parameters are derived. Constraint relations between pulse width and amplitude, pulse width and chirp are obtained. Results show that the soliton center frequency does not change under the appropriate parameter setting and there’s no jitter. Under certain conditions, the self-frequency shift and Kerr dispersion effects cancel out each other, the pulses propagate stably in the form of breather within a certain distance.