A regularized model equation for discrete breathers in anharmonic lattices with symmetric nearest-neighbor potentials

DOI10.1016/j.physd.2005.12.002zbMath1102.82019OpenAlexW2047992713MaRDI QIDQ2492261

Yusuke Doi, Bao-Feng Feng, Takuji Kawahara

Publication date: 9 June 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2005.12.002

zbMATH Keywords

Padé approximationmultiple scales methoddiscrete breatherintrinsic localized modeFermi-Pasta-Ulam latticemovabilitybreather-breather collisionregularized continuum model

Mathematics Subject Classification ID

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 (5)

Modulational instability of longitudinal nonlinear wave along single wall carbon nanotubes under the effect of higher order inter-atomic interaction potential ⋮ Conservation laws and self-consistent sources for a super integrable equation hierarchy ⋮ Discrete breathers in two-dimensional nonlinear lattices ⋮ Influence of nonlinear atomic interaction on excitation of intrinsic localized modes in carbon nanotubes ⋮ Improved continuous models for discrete media

Cites Work

• Unnamed Item
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum
• Continuum approach to discreteness
• Effective Hamiltonian for travelling discrete breathers
• Travelling waves in the Fermi-Pasta-Ulam lattice
• Model equations for long waves in nonlinear dispersive systems
• Discrete breathers in Fermi–Pasta–Ulam lattices

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