  In this paper we examine the scattering processes among the members of a rich
family of kinks which arise in a (1+1)-dimensional relativistic two scalar
field theory. These kinks carry two different topological charges that
determine the mutual interactions between the basic energy lumps (extended
particles) described by these topological defects. Processes like topological
charge exchange, kink-antikink bound state formation or kink repulsion emerge
depending on the charges of the scattered particles. Two-bounce resonant
windows have been found in the antikink-kink scattering processes, but not in
the kink-antikink interactions.
