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arXiv · 1904.01789

Entire solutions originating from three fronts to a two-dimensional nonlocal periodic lattice dynamical system

Shaohua Gan·Zhixian Yu
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Abstract

This paper is concerned with the entire solutions of a two-dimensional nonlocal periodic lattice dynamical system. With bistable assumption, it is well known that the system has three different types of traveling fronts. The existence of merging-front entire solutions originating from two fronts for the system have been established by Dong, Li \& Zhang [{\it Comm. Pur Appl. Anal.}, {\bf17}(2018), 2517-2545]. Under certain conditions on the wave speeds, and by some auxiliary rational functions with certain properties to construct appropriate super- and sub solutions of the system, we establish two new types of entire solutions which originating from three fronts.

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Shaohua Gan, Zhixian Yu. 2019-04-03. Entire solutions originating from three fronts to a two-dimensional nonlocal periodic lattice dynamical system. https://arxiv.org/abs/1904.01789

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