Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

We provide an overview of recent experimental and theoretical developments in the area of
optical discrete solitons. By nature, discrete solitons represent self-trapped wavepackets in …

Symmetry breaking phase transitions play an important role in nature. When a system
traverses such a transition at a finite rate, its causally disconnected regions choose the new …

This review provides a summary of work on the resonant nonlinear dynamics of micro-and
nanoelectromechanical systems. This research area, which has been active for …

We report the experimental observation of modulational instability and discrete breathers in
a one-dimensional diatomic granular crystal composed of compressed elastic beads that …

Solitary, persistent wave packets called solitons hold potential to transfer information and
energy across a wide range of spatial and temporal scales in physical, chemical, and …

Nanoelectromechanical systems (NEMS) that operate in the megahertz (MHz) regime allow
energy transducibility between different physical domains. For example, they convert optical …

The study of granular crystals, which are nonlinear metamaterials that consist of closely
packed arrays of particles that interact elastically, is a vibrant area of research that combines …

We study the dynamics of Kuznetsov-Ma solitons (KMSs) in the framework of vector
nonlinear Schrödinger (Manakov) equations. An exact multiparameter family of solutions for …

This review paper discusses recent efforts to passively move unwanted energy from a
primary structure to a local essentially non-linear attachment (termed a non-linear energy …