Supersymmetric intersecting branes on the wave

The understanding of the fundamental nature and quantum properties of spacetime is one of the most important questions in theoretical physics. String/M theory is one of the most promising theory for research it. And dilaton-gravity plane waves provide a rare example of tractable strongly curved (possibly singular) time-dependent spacetime backgrounds. We construct a general family of supersymmetric solutions in timeand space-dependent wave backgrounds in general supergravity theories describing single and intersecting p-branes embedded into time-dependent dilaton-gravity plane waves of an arbitrary (isotropic) profile, with the brane world-volume aligned parallel to the propagation direction of the wave. We discuss how many degrees of freedom we have in the solutions. We also propose that these solutions can be used to describe higher-dimensional time-dependent "black holes", and discuss their property briefly.