Abstract
Topological excitations are investigated in one-dimensional Peierls systems with commensurability 2 and 3, using the method of Eilenberger equations which were once applied to type II superconductors to determine the structure of a vortex. For the case with commensurability 2, namely, the half filled band case, the known results are reproduced and the differential equation which determines the shape of the order parameter is derived. For the case with commensurability 3, namely, the 1 3 - filled band case, one kink (antikink) solution is found for a particular value of the electron-phonon coupling constant.
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