Solitons and deformed lattices I

TL;DR

This paper investigates soliton dynamics in models of biopolymers, analyzing one and two chain systems with novel results on soliton behavior and interactions influenced by Morse-like potentials.

Contribution

It provides new insights into soliton solutions in biopolymer models, including the extension to two chains with an interaction potential.

Findings

New soliton solutions in one chain model

Preliminary results on two chain interactions

Influence of Morse-like potential on soliton dynamics

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.