We study a model of scalar field with kinetic terms non-minimally coupled toto the curvature, and the scalar field coupled to the Gauss Bonnet4-dimensional invariant. A variety of solutions are found, giving rise todifferent cosmological scenarios. A unified description of early time matter(radiation) dominance with transitions to late time quintessence and phantomphases have been made. Among others, we found solutions unifying asymptoticallythe early power law behavior and late time cosmological constant. Solutions ofChaplygin gas and generalized Chaplygin gas cosmologies have also been found.
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