  The correspondence of the Gauss-Bonnet (GB) and its modification (MGB) models
of dark energy with the standard and generalized Chaplygin gas-scalar field
models (SCG and GCG) have been studied in a {\deg}at universe. The exact
solution of potentials and scalar fields, which describe the accelerated
expansion of the universe, are reconstructed. According to the evolutionary
behavior of the GB and MGB models, the same form of dynamics of scalar field
and potential for different SCG and GCG models are derived. By calculating the
squared sound speed of the MGB, GB model as well as the SCG, GCG, and
investigating the GB-Chaplygin gas from the viewpoint of linear perturbation
theory, we find that the best results which is consistent with the observation,
may be appeared by considering the MGB-GCG. Also we find out some bounds for
parameters.
