volume 26, issue 9, P4815 2021
DOI: 10.3934/dcdsb.2020314
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Zhixian Yu, Rong Yuan, Shaohua Gan

Abstract: This paper is concerned with novel entire solutions originating from three pulsating traveling fronts for nonlocal discrete periodic system (NDPS) on 2-D Lattices u i,j (t) = k 1 ∈Z\{0} k 2 ∈Z\{0} J(k 1 , k 2) u i−k 1 ,j−k 2 (t) − u i,j (t) + f i,j (u i,j (t)). More precisely, let ϕ i,j;k (icosθ + jsinθ + v k t) (k = 1, 2, 3) be the pulsating traveling front of NDPS with the wave speed v k and connecting two different constant states, then NDPS admits an entire solution u i,j (t), which satisfies lim t→−∞ 1≤k≤…

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