非均匀圆柱壳中传播孤立波的动力学稳定性

Dynamical Stability of Solitary Wave Propagation in Inhomogeneous Cylindrical Shells

利用积分因子法对非均匀圆柱壳中传播孤立波的动力学稳定性进行详细的数值研究.以高斯波扰动、简谐波扰动和随机扰动作为初始扰动,考察受到这三种不同扰动的孤立波能否较长时间保持波形结构和传播速度而稳定传播的问题.结果表明:孤立波的稳定传播与扰动幅度、宽度和波长有关,只在受到幅度、宽度和波长都足够小的扰动下非均匀圆柱壳中传播的孤立波才能够表现出较强的抗干扰性,具有良好的动力学稳定性.

Dynamical stability of solitary wave propagation in inhomogeneous cylindrical shell was numerically studied in detail by using method of integrating factors.Stable propagation keeping structure of waveform and propagation speed of solitary wave for long time was examined,under three kinds of initial perturbations that is Gaussian wave perturbation,harmonic wave perturbation and stochastic perturbation.It shows that stable propagation of solitary wave is related to amplitude,width and wavelength of perturbations.Only with small enough amplitude,width and wavelength,solitary wave shows relatively strong anti-interference property,and has better dynamical stability.