The exact solitary wave solution to the Boussinesq equations, which wa
s given in an,implicit integral form, is further studied in the presen
t note. Through numerical curve fitting, an explicit closed-form empir
ical solution whose profile is nearly identical to the exact solution
is obtained. Discussion and comparison between solitary wave solutions
based on the Boussinesq model and higher-order theories of the Euler
equation are presented.