论文标题
Allen-Cahn方程的行驶波解决方案
Traveling wave solutions to the Allen-Cahn equation
论文作者
论文摘要
对于Allen-Cahn方程式，众所周知，有一个单调的直立波与电势的平衡井相连。在本文中，我们研究了无限通道上Allen-CAHN方程的行驶波解决方案的存在。这种行驶波解决方案具有大量的振荡，它们是借助变异参数获得的。
For the Allen-Cahn equation, it is well known that there is a monotone standing wave joining with the balanced wells of the potential. In this paper we study the existence of traveling wave solutions for the Allen-Cahn equation on an infinite channel. Such traveling wave solutions possess a large number of oscillation and they are obtained with the aid of variational arguments.
