On the existence of moving breathers in one-dimensional anharmonic lattices

DOI10.1016/S0167-2789(03)00116-7zbMath1027.82025OpenAlexW2055429871MaRDI QIDQ1396630

Jacob Szeftel, Guoxiang Huang, Vladimir V. Konotop

Publication date: 6 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00116-7

zbMATH Keywords

Frenkel-Kontorova modelFermi-Pasta-Ulam modelinfinite one-dimensional crystals

Mathematics Subject Classification ID

Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

Intrinsic localized modes in a three particle Fermi-Pasta-Ulam lattice with on-site harmonic potential ⋮ Discrete breathers in Fermi–Pasta–Ulam lattices ⋮ Localized waves in nonlinear oscillator chains ⋮ Numerical computation of travelling breathers in Klein--Gordon chains ⋮ Travelling breathers with exponentially small tails in a chain of nonlinear oscillators

Cites Work

• Mobility and reactivity of discrete breathers
• Moving discrete breathers?
• Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
• Nonlinear differential–difference equations and Fourier analysis
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
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