For　multi-photon　processed　with　the　linear　dispersion　in　the　high-intensity　terahertz　(THz)　field,　we　have　systematically　investigated　Hie　temperature-dependent　nonlinear　optical　response　of　graphene-based　systems,　including　single　layer　grapheme,　grapheme　superlattice　and　gapped　grapheme.　In　the　intrinsic　single　layer　graphene　system,　it　demonstrates　that,　at　low　temperature,　nonlinear　optical　conductivities　of　the　third　and　fifth-order　are　respectively　live　and　ten　orders　of　magnitude　larger　than　the　universal　conductivity　with　high-intensity　and　low　frequency.THz　wave.In　the　graphene,　superlattice　and　gapped　graphene　systems,　the　optical　responses　enhanced　because　of　the　anisotropic　massless　and　massive　Dirac　fermions.