形变DNA链中的扰动类孤子分子激发
Perturbed soliton-like molecular excitations in a deformed DNA chain
摘要：
研究了形变脱氧核糖核酸（DNA）分子链的非线性动力学，该动力学由扰动sine-Gordon方程和代表晶格形变的线性波动方程耦合而成.这里考虑的DNA链被假定为周期性变形，这是能量上有利的构型，并且周期性变形是由于碱基对之间的排斥力、螺旋骨架中的应力以及由于两条链中的弹性应变力。对微扰的sine-Gordon方程进行了多尺度孤子微扰分析，得到的微扰扭结孤子和反扭结孤子是具有小涨落的开态结构.由于晶格的周期性变形引起的扰动改变了孤子的速度。然而，孤子的宽度保持不变。
英文摘要：
We study the nonlinear dynamics of a deformed Deoxyribonucleic acid (DNA) molecular chain which is governed by a perturbed sine-Gordon equation coupled with a linear wave equation representing the lattice deformation. The DNA chain considered here is assumed to be deformed periodically which is the energetically favourable configuration, and the periodic deformation is due to the repulsive force between base pairs, stress in the helical backbones and due to the elastic strain force in both the strands. A multiple scale soliton perturbation analysis is carried out to solve the perturbed sine-Gordon equation and the resultant perturbed kink and antikink solitons represent open state configuration with small fluctuation. The perturbation due to periodic deformation of the lattice changes the velocity of the soliton. However, the width of the soliton remains unchanged.
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