In this paper , we develop a simple method for the reconstruction of the string-inspired dark energy model with the lagrangian { \cal L } = - V ( \phi ) \sqrt { 1 - \alpha ^ { \prime } { \nabla } _ { \mu } \phi \nabla ^ { \mu } \phi + % \beta ^ { \prime } \phi \Box \phi } 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 .