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We consider a scalar-tensor model of dark energy with kinetic and GaussBonnet couplings. We study the conditions for the existence of quintessentialand phantom power-law expansion, and also analyze these conditions in absenceof potential (closely related to string theory). A mechanism to avoid the BigRip singularity in various asymptotic limits of the model has been studied. Itwas found that the kinetic and Gauss-Bonnet couplings might prevent the Big Ripsingularity in a phantom scenario. The autonomous system for the model has beenused to study the stability properties of the power-law solution, and thecentre manifold analysis was used to treat zero eigenvalues.

Quintessential and phantom power-law solutions in scalar tensor model of dark energy