DNA中一类非线性动力学方程的数值解

Numerical Solutions of a Kind of Nonlinear Dynamic Equations of the DNA

摘要: 本文基于Yomosa提出的平面基转子模型数值研究了DNA双螺旋结构的非线性动力学问题。通过对模型参数的无量纲化，得到适于数值实验的数据并给出了与原参数的关系式。利用有限差分方法对模型中的一类非线性Sine-Gordon方程进行数值计算，结果表明本文提出的数值方法是有效的。

Abstract: We study nonlinear dynamics of DNA double helical under plane based on the rotator model pro-posed by Yomosa. Through dimensionless disposal, we get the more suitable data for numerical experiments and the relation between the data with the original parameters is also given. We solve a kind of nonlinear Sine-Gordon equations of the model by using the finite difference method, and the results show that the proposed numerical method is effective.