Breathers in a system with helicity and dipole interaction
B. Sanchez-Rey, J. F. R. Archilla, F. Palmero, F. R. Romero
Abstract
Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range interaction due to the dipole moments of the hydrogen bonds between base pairs. In these models the helicity of the double strand is not considered. In this particular paper we have performed an analysis of the influence of the helicity on the properties of static and moving breathers in a Klein--Gordon chain with dipole-dipole interaction. It has been found that the helicity enlarges the range of existence and stability of static breathers, although this effect is small for a typical helical structure of DNA. However the effect of the orientation of the dipole moments is considerably higher with transcendental consequences for the existence of mobile breathers.
Create a lesson
Related papers
Solitons in the nonlinear Schrödinger equation with the pseudo-Raman term, anti-diffusion gain and nonlinear loss
Evgeny M. Gromov, Boris A. Malomed
A theory for detecting the Turing instability on static and temporal multiplex networks
Joshua Ritchie
Multistability and Juggling States in Frustrated Kuramoto Oscillators on Ring Networks
Guilherme S. Costa, Ricardo Fariello, Marcus A. M. de Aguiar
Whitham modulation theory for the Davey-Stewartson system and stability analysis of its periodic traveling wave solutions
Gino Biondini, Alexander Chernyavsky, Haodong Lin et al.
Soliton dynamics in the Gardner-Ostrovsky equation
R. Fariello, M. S. Soares, Y. A. Stepanyants
Persistence of kinks in the NLS equation with competing nonlinearities
P. G. Kevrekidis, D. E. Pelinovsky