A new uniqueness theorem of wave profiles for a 2-D bistable lattice dynamical system. (May 2021)

• Record Type: Journal Article
• Authors: Lan, Shuangting; Weng, Peixuan; Xu, Zhaoquan
• Is Part Of: Applied mathematics letters. Volume 115(2021)
• Publication Date: 2021-05
• Subjects: 2-D lattice dynamical system -- Bistable traveling waves -- Uniqueness; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106958
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: 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, we 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.