Volume 131, Number 6, September 2020
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||02 November 2020|
Boomerons in a 1-D lattice with only nearest-neighbor interactions
Faculty of Mechanical Engineering, Technion, Israel Institute of Technology - Haifa 32000, Israel
Received: 29 April 2020
Accepted: 7 September 2020
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.
PACS: 43.25.Ts – Nonlinear acoustical and dynamical systems / 46.40.Cd – Mechanical wave propagation (including diffraction, scattering, and dispersion) / 43.25.Ed – Effect of nonlinearity on velocity and attenuation
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