Late Time Cosmological Scenarios from Scalar Field with Gauss Bonnet and Non-minimal Kinetic Couplings

We study a model of scalar field with non minimal kinetic Gauss Bonnet couplings. A variety of solutions giving rise to different cosmological scenarios were found. A solution unifying early time matter (radiation) dominance with transitions to late time quintessence and phantom phases have been found. Among others, we reconstructed solutions unifying asymptotically the early power law behavior and late time cosmological constant. The reconstruction is also applied to Chaplygin and generalized Chaplygin gas cosmologies.