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.
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