By starting with the antiferromagnetic chain model, it has been set up that
the coupled nonlinear equations describe the interaction between the latti
ce displacement and the electronic wave function. We obtain an analytic sol
ution of the equation of motion and study the nonlinear dynamics of polyace
tylene by considering the Hubbard interaction. The influence of the Hubbard
potential upon the parameters of the soliton such as the effective mass an
d hall-width of the lattice kink has been revaluated. With increasing Hubba
rd potential, the dimerization and half-width will increase bur the effecti
ve mass will decrease.