Abstract
Based on the method of coherent states, the nonlinear effects caused by the interaction between electrons and acoustic lattice vibrations in an anharmonic linear chains are investigated in the secolid-neighbour interaction approximation. While the continous limits of the equations of motion is considered self -consistently, the cubic anharmonicity of the deformable potential leads to a new nonlinear equation for the electronic orobability amolitute, which gives a new solitary solution in the form of hyperelliptic integral. This shows that besides the bell-solitons there also exists a second type of solitary excitation with the shape of a kink.
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