Reconstructing a string-inspired quintom model of dark energy

In this Letter, we develop a simple method for the reconstruction of the string-inspired dark energy model with the Lagrangian L=−V(ϕ)1−α′∇μϕ∇μϕ+β′ϕ□ϕ given by Cai et al., which may allow the equation-of-state parameter cross the cosmological constant boundary (w=−1). We reconstruct this model in the light of three forms of parametrization for dynamical dark energy.