Soft materials with engineered microstructure support nonlinear waves which can be harnessed for various applications, from signal communication to impact mitigation. Such waves are governed by nonlinear coupled differential equations whose analytical solution is seldom trackable, hence emerges the need for suitable numerical solvers. Based on a finite-volume method in one space dimension, we here develop a designated scheme for nonlinear waves with two coupled components that propagate in soft laminates. We apply our scheme to a periodic laminate made of two alternating compressible Gent layers, and consider two cases. In one case, we analyze a motion whose component along the lamination direction is coupled to a component in the layers plane, and discover vector solitary waves in a continuum medium. In the second case, we analyze a motion with two coupled components in the plane of the layers, and observe a train of linearly polarized solitary waves, followed by a single circularly polarized wave. The framework we developed offers a platform for further investigation of these waves and their extension to higher dimensional problems.

具有工程微结构的软材料支持非线性波，可以将其用于各种应用，从信号通信到减轻影响。这种波由非线性耦合的微分方程控制，该方程的解析解很少可追踪，因此需要合适的数值求解器。在一个空间维度上，基于有限体积方法，我们在此开发了一种针对非线性波的指定方案，该非线性波具有两个在软层压板上传播的耦合分量。我们将方案应用于由两个交替可压缩Gent层组成的周期性层压板，并考虑两种情况。在一种情况下，我们分析了一种运动，该运动的沿叠层方向的分量耦合到层平面中的分量，并发现连续介质中的矢量孤立波。在第二种情况下 我们分析了在层平面中具有两个耦合分量的运动，并观察了一系列线性极化孤立波，然后是一个圆极化波。我们开发的框架提供了一个平台，可以进一步研究这些波动及其对高维问题的扩展。