摘要
把微结构固体的基本非线性波模型进行约化,得到了一种Kd V类模型方程.以此方程作为控制方程并利用积分因子方法,对微结构固体中孤立波的传播特性及其稳定性进行了数值研究.研究结果表明,在微尺度非线性效应很弱的微结构固体中,孤立波基本保持波形和传播速度能够较长时间稳定传播;在微尺度非线性效应较强的微结构固体中,孤立波明显变形并呈现非对称特性.微结构固体中传播的孤立波的动力学稳定性不是很强,即使在很小的扰动下其传播速度和波形可发生明显改变.
Basic nonlinear wave model of microstructured solids is reduced and a kind of KdV-like model equationis obtained. Taking this equation as the governing equation,the propagation property and stability of solitarywave in microstructured solids was numerically studied using a method of integrating factors. The simulation resultsshowed that in microstructured solids with weak microscale nonlinear effects,the solitary wave could stabilizepropagation maintained waveform and propagation speed for a long time. In microstructured solids with strongmicroscale nonlinear effects,the solitary wave was deformed and showed asymmetric characteristics. The dynamicstability of solitary wave propagating in microstructured solids is not very strong,its propagation speed and waveformchanged even under small disturbance.
作者
那仁满都拉
Naranmandula(College of Physics and Electronics,Inner Mongolia University for Nationalities,Tongliao 028043,China)
出处
《内蒙古民族大学学报（自然科学版）》
2018年第4期301-304,共4页
Journal of Inner Mongolia Minzu University：Natural Sciences
基金
国家自然科学基金项目(11462019)
关键词
微结构固体
孤立波
传播特性
Microstructured solid；Solitary wave；Propagation property
