发表机构
University of West Bohemia（西波希米亚大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究双稳态格点方程中的传播失败现象，证明中间扩散参数下存在无传播失败的方程，其崩溃与钉扎波和静止解的连续统相关，并由此得到显式行波形式。
AI 中文摘要
双稳态格点方程中的传播失败现象将空间离散性和弱扩散与大量静止模式以及波无法移动的现象联系起来。我们证明了自然存在这样的双稳态格点方程，它们对于中间值的扩散参数不承认传播失败。传播失败的崩溃与钉扎波的连续统和有界非单调静止解的连续统的存在有关。这也使我们能够找到一族双稳态格点方程的显式行波形式。
英文摘要
The propagation failure phenomenon in bistable lattice equations connects spatial discreteness and weak diffusion to the large number of stationary patterns and the inability of waves to move. We show that there naturally exist bistable lattice equations that do not admit propagation failure for intermediate values of diffusion parameters. The collapse of propagation failure is connected with the existence of a continuum of pinned waves and a continuum of bounded nonmonotone stationary solutions. It also enables us to find explicit forms of traveling waves of families of bistable lattice equations.
Comments19 pages
