  It is well-known that the celebrated Camassa-Holm equation has the peaked
solitary waves, which have been not reported for other mainstream models of
shallow water waves. In this letter, the closed-form solutions of peaked
solitary waves of the KdV equation, the BBM equation and the Boussinesq
equation are given for the first time. All of them have either a peakon or an
anti-peakon. Each of them exactly satisfies the corresponding Rankine-Hogoniot
jump condition and should be understood as weak solution. Therefore, the peaked
solitary waves might be common for most of shallow water wave models, no matter
whether or not they are integrable and/or admit breaking-wave solutions.
