  It is well known that for a large class of coagulation kernels, Smoluchowski
coagulation equations have particular power law solutions which yield a
constant flux of mass along all scales of the system. In this paper, we prove
that for some choices of the coagulation kernels there are solutions with a
constant flux of mass along all scales which are not power laws. The result is
proved by means of a bifurcation argument.
