Static and moving breathers in a DNA model with competing short–range and long–range dispersive interactions

Abstract

So far, all the studies on breathers on DNA have considered models with either short–range or long-range interaction. However, none of them have considered both kinds of interactions. When both interactions are taken into account, there appear a great number of phenomena, and some of them are considered here. One of these phenomena consists in that short–range interaction provide the existence of moving breathers, a fact that does not occur when only long–range interactions are taken into account. Other phenomena studied here are the existence, stability and shape of static breathers and the properties of moving breathers.