  This paper proposes semi-discrete and fully discrete hybridizable
discontinuous Galerkin (HDG) methods for the Burgers' equation in two and three
dimensions. In the spatial discretization, we use piecewise polynomials of
degrees $ k \ (k \geq 1), k-1$ and $ l \ (l=k-1; k) $ to approximate the scalar
function, flux variable and the interface trace of scalar function,
respectively. In the full discretization method, we apply a backward Euler
scheme for the temporal discretization. Optimal a priori error estimates are
derived. Numerical experiments are presented to support the theoretical
results.
