Vector solitary waves are nonlinear waves of coupled polarizations that propagate with constant velocity and shape. In mechanics, they hold the potential to control locomotion, mitigate shocks and transfer information, among other functionalities. Recently, such elastic waves were numerically observed in compressible rubber-like laminates. Here, we conduct numerical experiments to characterize the possible vector solitary waves in these laminates, and expose a new type of waves whose amplitude and velocity oscillate periodically without dispersing in time. This oscillation is a manifestation of a periodic transfer of energy between the two wave polarizations, which we consider as internal mode of the solitary wave. We find that the vector solitary waves propagate faster at higher amplitudes, and determine a lower bound for their velocity. We describe a procedure for identifying which initial strains generate such vector solitary waves. This procedure also enables an additional classification between tensile and compressive solitary waves, according to the way that the axial strain changes as the waves propagate.

矢量孤波是耦合极化的非线性波，以恒定的速度和形状传播。在机械方面，它们具有控制运动，减轻冲击和传递信息以及其他功能的潜力。近来，在可压缩的橡胶状层压体中在数值上观察到了这种弹性波。在这里，我们进行数值实验来表征这些叠层中可能的矢量孤波，并揭示一种新型的波，其振幅和速度会周期性地振荡而不会随时间散开。这种振荡是两个波极化之间能量周期性转移的一种表现，我们将其视为孤立波的内部模式。我们发现矢量孤立波在较高振幅下传播更快，并确定了其速度的下界。我们描述了一种程序，该程序用于识别哪些初始应变会产生这种矢量孤立波。根据轴向应变随波传播而变化的方式，此过程还可以在拉伸和压缩孤波之间进行附加分类。