Discrete breathers in two-dimensional nonlinear lattices

DOI10.1016/j.wavemoti.2007.04.002zbMath1231.82037OpenAlexW2041185321MaRDI QIDQ661576

Takuji Kawahara, Bao-Feng Feng

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2007.04.002

zbMATH Keywords

discrete nonlinear Schrödinger equationdiscrete breatherFermi-Pasta-Ulam latticechaotic breatherquasi-continuum approximationregularized model equationtwo- and three-dimensional latticesvortex-breather

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (9)

Dynamics of solitons with periodic loops intrinsic localized modes and modulational instability in a quantum 2D nonlinear square Klein-Gordon chain ⋮ Quantum two-breathers formed by ultracold bosonic atoms in optical lattices ⋮ A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators ⋮ Generation of acoustic solitary waves in a lattice of Helmholtz resonators ⋮ Nonlocal Cauchy problems for semilinear differential inclusions with fractional order in Banach spaces ⋮ On the controlled propagation of wave signals in a sinusoidally forced two-dimensional continuous Frenkel-Kontorova model ⋮ Quantum breathers in a two-dimensional hexangular Heisenberg ferromagnet ⋮ Quantum breathers in anisotropy ferromagnetic chains with second-order coupling ⋮ Improved continuous models for discrete media

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