Boomerons in a 1-D lattice with only nearest-neighbor interactions. (2nd November 2020)

• Record Type: Journal Article
• Authors: Katz, Shmuel; Givli, Sefi
• Is Part Of: Europhysics letters. Volume 131:Number 6(2020)
• Publication Date: 2020-11-02
• Subjects: 43.25.Ts -- 46.40.Cd -- 43.25.Ed; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/131/64002
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: We report on the existence of boomerons in a 1-D periodic lattice with no on-site potentials. Following an impact, a spatially localized wave phenomenon forms. This envelope wave packet, with frequency within the propagating band of small-amplitude waves, propagates into the chain, decelerates, and reverses direction without any external forcing. Our results show that this remarkable response requires the nearest-neighbor interactions to have non-convex potential with a branch of negative stiffness. It is suggested that the reversing motion is a consequence of the intriguing interaction between the localized phenomenon and the trail of nonlinear waves behind it.