The hybridized sp-states of valence electrons in the carbon atom can be described by SU(2) matrix considered as the order parameter. The chiral model of graphene based on this order parameter is suggested in the long-wave approximation, the ideal graphene plane being determined by the kinklike solution. Corrugation of the graphene surface is described in the form of ripple and rings. The approximate solution corresponding to an infinite carbon nanotube is found. © (2012) Trans Tech Publications.