细观结构固体层中孤立波的传播及相互作用特性

PROPAGATION AND INTERACTION OF SOLITARY WAVES IN A MICROSTRUCTURED SOLID LAYER

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二阶精度的稳定差分格式,并对孤立波在细观结构固体层中传播特性进行了数值模拟,特别对细观结构固体层中传播的不同幅度的孤立波的相互作用进行了详细的数值模拟,从而得到在适当条件下细观结构固体层中孤立波传播时即可以衰减、放大又可以稳定传播,且相互作用不影响这种传播特性.

In this paper, the dependence of amplification or attenuation of solitary waves upon the corresponding initial amplitude and the structural parameters is determined through the direct perturbation method. Using the linearization technique a stable second order accuracy difference scheme is constructed to simulate the propagation characteristics of solitary waves in microstructured solid layer. The interaction of solitary waves with different amplitudes is investigated in detail. It is obtained that the solitary waves propagation in microstructure solid layer can be either attenuated, or amplified, or stable according to their propagation conditions, while the interaction between solitary waves produces no affect on the above prop- agation nature.