A phenomenological model for the dynamics of localized (soliton-like) torsi
on waves in linear macromolecules is considered. It is shown that the anhar
monicity of the torsion potential, which characterizes deceleration of rota
tion of the chain units about a valence bond, can result in the appearance
of torsion solitons with a finite supersonic velocity spectrum. The soliton
s are dynamically stable. They retain their shape in the course of motion,
which is not accompanied by phonon radiation. Interaction of solitons is in
elastic, Collision of solitons always gives rise to phonon radiation, which
becomes especially noticeable near the upper boundary of the velocity spec
trum. The existence of torsion solitons should be expected in linear macrom
olecules that take a three-dimensional helical conformation in the ground s
tate. In macromolecules adopting a flat zigzag conformation, the conditions
necessary for the soliton existence are considerably more severe.