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Solitons and deformed lattices I

2002/11/30 by Betti Hartmann, Wojtek J. Zakrzewski
Physics and Astronomy · #cond-mat #hep-th #nlin.PS

paper · pdf

published as J.Nonmath.Phys. 12 (2005) 88-104 · 12 Latex pages, 7 PS-figures; introduction extended; figure added, new results added

arxiv created 2003/07/07 · arxiv updated 2009/11/30

Abstract

We study a model describing some aspects of the dynamics of biopolymers. The models involve either one or two finite chains with a number N of sites that represent the "units" of a biophysical system. The mechanical degrees of freedom of these chains are coupled to the internal degrees of freedom through position dependent excitation transfer functions. We reconsider the case of the one chain model discussed by Mingaleev et al. and present new results concerning the soliton sector of this model. We also give new (preliminary) results in the two chain model in which case we have introduced an interaction potential inspired by the Morse potential.

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