  A model for the coexistence of p-wave superconductivity (SC) and
ferroelectricity (FE) is presented. The Hamiltonian of SC sector and FE sector
can be diagonalized by using the $so(5)$ and $h(4)$ algebraic coherent states
respectively. We assume a minimal symmetry-allow coupling and simplify the
total Hamiltonian through a double mean-field approximation (DMFA).
  A variational coherent-state (VCS) trial wave-function is applied for the
ground state. It is found that the ferroelectricity gives rise to the magnetic
field effect of p-wave superconductivity.
