Accelerated expansion of an anisotropic Brans-Dicke cosmology from nonlinear derivative interaction and Gauss-Bonnet invariant

The study of Brans-Dicke cosmology has attracted considerable attention in the recent years since it explains most of the important features of the progress of the universe. We discuss in this letter a homogeneous and anisotropic cosmological model in the framework of Brans-Dicke theory including together a non-linear derivative interaction which appears in theory with the Galilean shift symmetry, a Gauss-Bonnet invariant motivated from heterotic string theory which plays an important role in numerous alternatives cosmological frameworks, two scalar fields and their interactions to fit easier with universe history expansion. Several particular cases are studied and the properties related to scaling solutions and asymptotic behaviour are discussed in some details.