Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system
Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system
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DOI：
10.18910/7943
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发表时间：
2008-06
影响因子：
0.4
通讯作者：
Jong-Shenq Guo;Chang-Hong Wu
中科院分区：
文献类型：
--
作者：
Jong-Shenq Guo;Chang-Hong Wu
We study traveling waves for a two-dimensional lattice dynamical system with monostable nonlinearity. We prove that there is a minimal speed such that a traveling wave exists if and only if its speed is above this minimal speed. Then we show the uniqueness (up to translations) of wave profile for each given speed. Moreover, any wave profile is strictly monotone.
