非局域性引起的锋面相互作用增强
Nonlocality-induced front interaction enhancement
摘要：
我们证明了非局部耦合强烈影响连接两个等价状态的前沿的动力学。在两个原型模型中，我们观察到两个相对的前线之间的相互作用强度增加了几个数量级的前速度的放大。通过分析空间动力学，我们证明了超越定量效应的方式，非局部项也可以改变整体的定性图片诱导振荡的前配置文件。这导致了局部相互作用不存在的局部结构的形成机制。最后，非局域耦合可以引起局域结构的急剧加宽，最终使它们湮灭。
英文摘要：
We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting two equivalent states. In two prototype models we observe a large amplification in the interaction strength between two opposite fronts increasing front velocities several orders of magnitude. By analyzing the spatial dynamics we prove that way beyond quantitative effects, nonlocal terms can also change the overall qualitative picture by inducing oscillations in the front profile. This leads to a mechanism for the formation of localized structures not present for local interactions. Finally, nonlocal coupling can induce a steep broadening of localized structures, eventually annihilating them.
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