The problem of existence and stability of dynamic soliton regimes in p
olyethylene macromolecules was solved by numerical methods. Within the
framework of a model taking into account deformation of valence angle
s and bonds, soliton solutions are obtained that describe the motion o
f local tension domains along a trans-zigzag trajectory. Existence of
these tension solitons is determined by geometric, rather than physica
l, nonlinearity of the trans-zigzag. It is shown that PE macromolecule
has a relatively narrow spectrum of soliton velocities in the the sup
ersonic range. Modeling of the soliton dynamics shows evidence of thei
r stability in the entire domain of existence of the solution. An inte
rval of soliton velocities is found, in which solitons exhibit a parti
cle-like behavior, as manifested by their elastic interactions.