Modulation Instability and Wavenumber Bandgap Breathers in a Time Layered Phononic Lattice

Author:

Christopher Chong, Brian Kim, Evelyn Wallace, Chiara Daraio

Keyword:

Nonlinear Sciences, Pattern Formation and Solitons, Pattern Formation and Solitons (nlin.PS)

journal:

date:

2023-10-09 16:00:00

Abstract

We demonstrate the existence of wavenumber bandgap (q-gap) breathers in a time-periodic phononic lattice. These breathers are localized in time and periodic in space, and are the counterparts to the classical breathers found in spatially-periodic systems. We derive an exact condition for modulation instability that leads to the opening of wavenumber bandgaps. The q-gap breathers become more narrow and larger in amplitude as the wavenumber goes further into the bandgap. In the presence of damping, these structures acquire a non-zero, oscillating tail. The experiment and model exhibit qualitative agreement.

PDF: Modulation Instability and Wavenumber Bandgap Breathers in a Time Layered Phononic Lattice.pdf