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. Firstly, the direct perturbation method is used to determine the relationship between the amplification or attenuation of the solitary wave and the initial amplitude of the solitary wave and the structural parameters of the medium. Then a fourth-order difference format is constructed by using the linearization technique, The wave propagation in the mesostructure solid layer and the soliton waves with different amplitudes are numerically simulated, so that the soliton wave propagation in the mesostructure solid layer can be attenuated, magnified and propagated steadily under the proper conditions The effects do not affect their propagation characteristics.