  We study the flux tube junctions in the limit of large magnetic flux. In this
limit the flux tube becomes a wall vortex which is a wall of negligible
thickness (compared to the radius of the tube) compactified on a cylinder and
stabilized by the flux inside. This wall surface can also assume different
shapes that correspond to soliton junctions. We can have a flux tube that ends
on a wall, a flux tube that ends on a monopole and more generic configurations
containing all three of them. In this paper we find the differential equations
that describe the shape of the wall vortex surface for these junctions. We will
restrict to the cases of cylindrical symmetry. We also solve numerically these
differential equations for various kinds of junctions. We finally find an
interesting relation between soliton junctions and dynamical systems.
