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Solitary waves in nonlinear coupled incommensurate chains

A M Dikandé and T C Kofané

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We present dynamical theory of soliton excitations in nonlinear coupled incommensurate chains which consists of two deformable chains of different atomic species, each with its own chemical potential, on the same substrate. In the continuum approximation, the motion equations are a set of coupled Sine-Gordon equations. The soliton solutions of these coupled equations are studied in detail. It has been shown that the frequency of the internal oscillations depends on the coupling parameter. The interaction energy between the two weakly coupled Sine-Gordon systems has been found. Results of the dynamical theory have been related to the transport properties in organic conductors such as TTF-TCNQ, KCP and others. Indeed, we have calculated some meaningful physical parameters of these compounds within the soliton limit, and discussed different types of behaviors shown at the transition with respect to variations of the physical parameters.


PACS

05.45.Yv Solitons

72.80.Le Polymers; organic compounds (including organic semiconductors)

Subjects

Soft matter, liquids and polymers

Condensed matter: electrical, magnetic and optical

Statistical physics and nonlinear systems

Dates

Issue 1 (1994)

Received 8 November 1991



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