  The elementary and systematic binary Bell polynomial approach is applied to
the good Boussinesq equation. The bilinear representation, $n$-soliton
solutions, bilinear B\"acklund transformation, Lax pair and infinite
conservation laws of the good Boussinesq equation are obtained directly. In
addition, from the reduction conditions of the obtained Lax pairs, the $n$
order $\operatorname{Wronskian}$ determinant solution of the equation is also
constructed.
