Discrete breathers in systems with homogeneous potentials - analytic solutions

Abstract

We construct lattice Hamiltonians with homogeneous interaction potentials which allow for explicit breather solutions. Especially we obtain exponentially localized solutions for $d$-dimensional lattices with $d=2,3$.

10 pages

References in corpus (1)

• Discrete Breathers

Cited by in corpus (7)

• Discrete breathers in a two-dimensional hexagonal Fermi-Pasta-Ulam lattice
• Exact solutions for discrete breathers in forced-damped chain
• Discrete Breathers and Multi-Breathers in Finite Vibro-Impact Chain
• Discrete peakons
• Transient dynamics in strongly nonlinear systems: optimization of initial conditions on the resonant manifold
• Localization in finite asymmetric vibro-impact chains
• Localization in Coupled Finite Vibro-Impact Chains: Discrete Breathers and Multibreathers