  By constructing an infinite dimensional KAM theorem of the normal frequencies
being dense at finite-point, we show that some shallow water equations such as
Benjamin-Bona-Mahony equation and the generalized $d$-Dim. Pochhammer-Chree
equation subject to some boundary conditions possess many (a family of initial
values of positive Lebesgue measure of finite dimension) smooth solutions which
are quasi-periodic in time.
