  In this paper, we show that the peeling property still holds for Bondi-Sachs
metrics with nonzero cosmological constant under the boundary condition given
by Sommerfeld's radiation condition together with three nontrivial
$\Lambda$-independent functions $B$, $a$, $b$. This should indicate the new
boundary condition is natural. Moreover, we construct some nonstationary vacuum
Bondi-Sachs metrics without Bondi news, which Newmann-Penrose quantities fall
faster than usual. This provides a new feature of gravitational waves for
nonzero cosmological constant.
