  We propose an exponential integrator Fourier pseudospectral method DEI-FP for
solving the "Good" Boussinesq (GB) equation. The numerical scheme is based on a
Deuflhard-type exponential integrator and a Fourier pseudospectral method for
temporal and spatial discretizations, respectively. The scheme is fully
explicit and efficient due to the fast Fourier transform. Rigorous error
estimates are established for the method without any CFL-type condition
constraint. In more details, the method converges quadratically and spectrally
in time and space, respectively. Extensive numerical experiments are reported
to confirm the theoretical analysis and to demonstrate rich dynamics of the GB
equation.
