AbstractThe soltion solutions to the continuum equations of motion of the trans‐(CH)xmodel in the limit of slowly moving solitons are obtained. The effects due to the soliton motion are considered. The main physical characteristics of moving solitons (the energy of creation, mass, charge, width, electrical moments) are calculated. In the case of the kink excitation the effects of motion are reduced by the small parameter ϵ ≈ 0.07, whereas for the polaron excitation the correction terms proportional to the polaron velocity are consider