  I consider a class of one-dimensional models where Majorana fermions interact
with bosonic fields. Contrary to a more familiar situation where bosonic
degrees of freedom are phonons and as such form a slow subsystem, I consider
fast bosons. Such situation exists when the bosonic modes appear as collective
excitations of interacting electrons as, for instance, in superconductors or
carbon nanotubes. It is shown that an entire new class of excitations emerge,
namely bound states of solitons and Majorana fermions. The latter bound states
are not topological and their existence and number depend on the interactions
and the soliton's velocity. Intriguingly the number of bound states increases
with the soliton's velocity.
