Coupled sine-Gordon systems in DNA dynamics
type: Item
instance of: scholarly article
title: Coupled sine-Gordon systems in DNA dynamics
zbMATH Open document ID: 1406.35434
DOI: 10.1155/2018/4676281
author: Y. Aharonov
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: We consider a model called the coupled sine-Gordon equation for DNA dynamics by introducing two double helix structures. The second double helix structure is unilaterally influenced by the first one. The completely integrable coupled sine-Gordon equation admits kink-antikink solitons with increased width representing a wide base pair opening configuration in DNA. Also we propose another coupled sine-Gordon model with variable coefficients for DNA dynamics under an inhomogeneous background. We find that the inhomogeneous DNA model has many interesting localized nonrational rogue wave solutions. We can find that the appearance of the rogue waves (possibly means the genetic mutation) in the nonlinear DNA model is highly related to the inhomogeneity.
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D20
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 6991966
zbMATH Keywords: coupled sine-Gordon equation
zbMATH Keywords: DNA dynamics
zbMATH Keywords: kink-antikink solitons
zbMATH Keywords: genetic mutation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4676281
OpenAlex ID: W2803288704
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description: scientific article; zbMATH DE number 6991966