  We consider solitary water waves on the vorticity flow in a two-dimensional
channel of finite depth. The main object of study is a branch of solitary waves
starting from a laminar flow and then approaching an extreme wave. In
\cite{Koz1b} it was proved that there always exists a bifurcation point on such
branches and the first bifurcation occurs at a simple eigenvalue. Here we
describe the structure of global bifurcating branches starting from this
bifurcation point.
