具有能量输入/输出的固体层中孤立波的传播及相互作用特性

首先利用直接微扰方法,确定了孤立波的放大或衰减与孤立波的初始幅度以及介质的结构参数之间的关系.然后利用线性化技术构造出一种四阶精度的差分格式,并对孤立波在细观结构固体层中传播及不同幅度的孤立波的相互作用进行了数值模拟,从而得到在适当条件下细观结构固体层中孤立波传播时可以衰减、放大也可以稳定传播,且相互作用不影响它们这种传播特性.

Propagation and interaction property of solitary waves in a solid layer with energy influx

First, the relationships between the amplification or the attenuation of solitary waves and the initial amplitude of solitary waves as well as the structure parameters of the media are determined by direct perturbation method. Second, the solitary wave propagation in a microstructured solid layer is solved numerically using a four-order difference scheme constructed by linearization technique, and also the interaction of the solitary waves with different amplitudes are simulated. As a result, it is demonstrated that the solitary waves, under proper conditions, could be amplified or attenuated, even the solitary waves can propagate steadily in the microstructured solid layer, and the interaction of solitary waves does not influence their propagation characteristics.