  We study the g-essence model with Yukawa interactions between a scalar field
$\phi$ and a Dirac field $\psi$. For the homogeneous, isotropic and flat
Friedmann-Robertson-Walker universe filled with the such g-essence, the exact
solution of the model is found. Moreover, we reconstruct the corresponding
scalar and fermionic potentials which describe the coupled dynamics of the
scalar and fermionic fields. It is shown that some particular g-essence models
with Yukawa interactions correspond to the usual and generalized Chaplygin gas
unified models of dark energy and dark matter. Also we present some
scalar-fermionic Dirac-Born-Infeld models corresponding g-essence models with
Yukawa interactions which again describe the unified dark energy-dark matter
system.
