  We construct supersymmetric, asymptotically AdS$_5$ gravitational soliton
solutions of five-dimensional gauged supergravity coupled to arbitrarily many
vector multiplets. These generalize the supersymmetric solitons of $U(1)^3$
gauged supergravity previously constructed by Chong, Cvetic, Lu, and Pope. We
show that the solitons contain evanescent ergosurfaces and give an argument
that these solitons should be nonlinearly unstable.
