Discrete Breathers

@inproceedings{Flach1997DiscreteB,
  title={Discrete Breathers},
  author={Sergej Flach and Charles R. Willis},
  year={1997}
}

Discrete breathers — Advances in theory and applications

Discrete Breathers in One- and Two-Dimensional Lattices

Discrete breathers are time-periodic and spatially localised exact solutions in translationally invariant nonlinear lattices. They are generic solutions, since only moderate conditions are required

Discrete Breathers in Condensed Matter

Discrete breathers — non-topological spatially localized time periodic excitations — are generic solutions for lattice Hamiltonians independent of the lattice dimension. We give an introduction to

Breathers for the Discrete Nonlinear Schrödinger Equation with Nonlinear Hopping

TLDR
Numerical studies in the one-dimensional lattice corroborate the theoretical bounds and illustrate that in certain parameter regimes of physical significance, the estimates can serve as accurate predictors of the breather power and its dependence on the various system parameters.

Discrete breathers in Bose–Einstein condensates

Discrete breathers, originally introduced in the context of biopolymers and coupled nonlinear oscillators, are also localized modes of excitation of Bose–Einstein condensates (BEC) in periodic

q-breathers in discrete nonlinear Schrödinger lattices

q-breathers (QBs) are exact time-periodic solutions of extended nonlinear systems continued from the normal modes of the corresponding linearized system. They are localized in the space of normal

Discrete breathers in classical ferromagnetic lattices with easy-plane anisotropy.

TLDR
This paper is devoted to the investigation of a classical d-dimensional ferromagnetic lattice with easy plane anisotropy with Heisenberg model, and shows the existence of a big variety of these breather solutions, depending on the respective orientation of the tilted spins.
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