  We investigate the presence of topological twistons in crystalline
polyethylene. We describe crystalline polyethylene with a model that couples
the torsional and longitudinal degrees of freedom of the polymeric chain by
means of a system of two real scalar fields. This model supports topological
twistons, which are described by exact and stable topological solutions that
appear when the interaction between torsional and longitudinal fields is
polynomial, containing up to the sixth power in the fields. We calculate the
energy of the topological twiston, and the result is in very good agreement
with the value obtained via molecular simulation.
