New Traveling Waves for DNA's Vibrational Dynamics

DOI

10.2991/meic-14.2014.142How to use a DOI?

Keywords

component; DNA dynamics; Traveling waves; Smooth solitary waves

Abstract

In this paper, we focus on studying traveling waves for the nonlinear vibrational dynamics modeling DNA, which is modified from the Yakushevich model. The Yakushevich model of DNA torsion dynamics supports soliton solutions, which are supposed to be of special interest for DNA transcription. In the discussion of the model, we will use the traveling wave and a direct integral method, in special, take the integral constant to be some special value and a special change of variable to conclude some new explicit forms of traveling waves are given including smooth solitary waves, solitary waves with blow-up points, rational solutions with decay, periodic waves and polynomial solutions. While nonlocalized ones included periodic waves and polynomial solutions. At the same time, we give the figure of the smooth solitary, solitary waves with blow-up points, rational solution with decay and periodic waves. Those obtained new waves might show some special phenomena in transporting energy.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Lijuan Qian
AU  - Lixin Tian
AU  - Daming Zhang
PY  - 2014/11
DA  - 2014/11
TI  - New Traveling Waves for DNA's Vibrational Dynamics
BT  - Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 635
EP  - 638
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-14.2014.142
DO  - 10.2991/meic-14.2014.142
ID  - Qian2014/11
ER  -