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/).
Cite this article
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 -