Abstract
We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case. In this paper, we derive the uniqueness of nonzero speed traveling waves by using the comparison principle and the sliding method.
Citation
Chin-Chin Wu. "Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System." Abstr. Appl. Anal. 2012 (SI12) 1 - 10, 2012. https://doi.org/10.1155/2012/289168
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