  We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled,
U(1) gauged supergravities and study some of their properties. In the most
general case they represent a string superposed with gravitational and
Chern-Simons electromagnetic waves. The waves are attached to the string and
the solution satisfies an electromagnetic self-duality relation. When the sigma
model is non-compact it interpolates between an asymptotically Kaigorodov space
and a naked singularity. For the compact sigma model there is a regular horizon
with the Kaigorodov geometry and asymptotically it is either Minkowskian or a
pp-wave. When the sigma manifold is flat our solutions describe either AdS_3 or
Kaigorodov space or a pp-wave in AdS_3.
