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The cubic anharmonicity effect on the soliton motion in molecular chains with electron(exciton)-phonon interaction is investigated. This anharmonicity is shown to remove the infinite increase of the soliton energy as the soliton velocity is reaching the longitudinal sound velocity.kkCJIeAyeTCJ3 BJIARHHe ~y 6 e g e c~o r o aHrapMOHU3Ma Ha ABUXWHEl e COJIHTOHOB B MOJIeKYJIRPHblX UeIIO9KaX C 3JIeKTpOH(3KCUTOH)-$)OHOHHbIM B3aHMOAe#CTBHeM. nOKa3aH0, 9 T O TaKOfi aHrapMOHU3M YCTpaHIXeT HeynepHEUMOe BO3paCTaHHe 3HePIWM COJIUTOHP npH n p~6 n~r n e~x f~ er0 CKOPOCTA K CKOPOCTU npOAOJIbHOr0 3BYKa.

No abstract

The motion of an excess electron or intramolecular dipole excitation interacting with local deformation in a molecular chain is investigated with the fourth spatial derivative term in the continuum limit and anharmonicity taken into account. The existence of the two types of bell-shaped solitons is established. The first type solitons can travel with both subsonic and supersonic velocities while the second type ones only with velocities exceeding that of the longitudinal sound in the chain.

The soliton theory is developed to describe the motion of an excess electron (or intramolecular excitation) in molecular chains with a strong electron (exciton)-phonon coupling for a wide class of realistic (nonlinear) nearest-neighbour interactions. To illustrate the theory some examples such as the chain of harmonically coupled molecules (linear chain) and the chains with power anharmonicities and a core potential are considered.