Nonlinear dynamics of twisted deoxyribo Nucleic acid DNA

Abstract

newline The first step towards energy localization in nonlinear lattices is attributed to the modulational instability of continuous wave. Modulational instability (MI) manifest itself as a self induced breakup of an initially plane wave into localized structure. Plane waves, propagating in a nonlinear medium are unstable and small perturbations admitted to the plane wave are amplified along the propagation. In biological systems, the amide-I energy can be localized through nonlinear interactions of the vibrational excitations and the deformation in the protein structure caused by the presence of these excitations. These excitations and the deformation balance each other to form a localized structure in addition to soliton. Our interest here draws upon the role that soliton can play theoretically in systems such as the sine-Gordon nonlinear Schrodinger (NLS) equation and the class of evolutionary equations considered, that might influence the mechanisms of DNA and it applications via solitons. Nowadays the Peyrard Bishop model is used to find the soliton in double stranded DNA. Past few decades, soliton has started playing an important role in technological applications.