Giant magnon solutions play an important role in various aspects of the
AdS/CFT correspondence. We apply the dressing method to construct an explicit
formula for scattering states of an arbitrary number N of magnons on R x S^3.
The solution can be written in Hirota form and in terms of determinants of N x
N matrices. Such a representation may prove useful for the construction of an
effective particle Hamiltonian describing magnon dynamics.Comment: 19 pages, 1 figur
