The wave propagation dynamics of bistable lattice dynamical systems was extensively studied in literatures. It is a challenging problem if the wave profiles are unique up to translation. In this note, we establish a new uniqueness theorem of wave profiles for a 2-D bistable lattice dynamical system with global interaction. The obtained result greatly extends the known results in the literature, which need the monotonicity and smoothness restrictions on the wave profiles.

中文翻译：

---

二维双稳态晶格动力学系统波动曲线的新唯一性定理

对双稳态晶格动力学系统的波传播动力学进行了广泛的研究。如果波浪轮廓在平移之前是唯一的，这将是一个具有挑战性的问题。在本说明中，我们为具有全局相互作用的二维双稳态晶格动力学系统建立了一种新的波剖面唯一性定理。所获得的结果大大扩展了文献中的已知结果，这些已知结果需要对波廓进行单调性和平滑度限制。