Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule

被引：8
|
作者：
Zdravkovic, S. [1 ]
Chevizovich, D. [1 ]
Bugay, A. N. [2 ]
Maluckov, A. [1 ]
机构：
[1] Univ Beogradu, Inst Nukl Nauke Vinca, Belgrade 11001, Serbia
[2] Joint Inst Nucl Res, Joliot Curie 6, Dubna 141980, Moscow Region, Russia
来源：
CHAOS | 2019年 / 29卷 / 05期
基金：
俄罗斯科学基金会;
关键词：
TRAVELING-WAVE SOLUTIONS; SIMPLEST EQUATION METHOD; TANH-FUNCTION METHOD; NONLINEAR DYNAMICS; CHAIN MODEL; EXCITATIONS; SOLITONS; MECHANISM;
D O I：
10.1063/1.5090962
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard-Bishop model. We look for traveling wave solutions and show that a continuum approximation brings about kink solitons moving along the chain. This statement is supported by the numerical solution of a relevant dynamical equation of motion. Finally, we argue that an existence of both kinks and localized modulated solitons (breathers) could be a useful tool to describe DNA-RNA transcription.
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页数：6
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