We have analytically studied the localized TE surface waves (SWs) in a one-dimensional graphene-based photonic crystal that is capped by a self-defocusing nonlinear layer. Our method is based on the first integral of the nonlinear Helmholtz wave equation. We have investigated the possibility of controlling the dispersion behavior inside the graphene-induced photonic bandgap (GIBG) via two controllable parameters: the intensity of the electromagnetic field at the surface of the nonlinear cap layer and the chemical potential of the graphene. The results showed that the frequency of the SWs inside the GIBG can be controlled by adjusting the intensity of the electromagnetic field and the chemical potential. We also compared the dispersion of the surface modes in GIBG with Bragg bandgap by changing the intensity of field at the surface of the nonlinear cap layer. It was found that the relative frequency variation of the surface modes inside the GIBG is more than the Bragg bandgap.