A new uniqueness theorem of wave profiles for a 2-d bistable lattice dynamical system
type: Item
instance of: scholarly article
title: A new uniqueness theorem of wave profiles for a 2-d bistable lattice dynamical system
zbMATH Open document ID: 1481.34019
author: Peixuan Weng
author: Zhaoquan Xu
author: Shuang Ting Lan
published in: Applied Mathematics Letters
publication date: 2021-03-04T00:00:00Z
review text: The wave propagation dynamics of bistable lattice dynamical systems was extensively studied in literatures. It is a challenging problem if the wave profiles are unique up to translation. In this note, the authors establish a new uniqueness theorem of wave profiles for a 2-D bistable lattice dynamical system with global interaction. The obtained result greatly extends the known results in the literature, which need the monotonicity and smoothness restrictions on the wave profiles.
reviewed by: Caidi Zhao
Mathematics Subject Classification ID: 34A33
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K16
zbMATH DE Number: 7317520
zbMATH Keywords: 2-D lattice dynamical system
zbMATH Keywords: bistable traveling waves
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106958
OpenAlex ID: W3112876534
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DOI: 10.1016/J.AML.2020.106958
description: scientific article; zbMATH DE number 7317520