Discrete breathers in honeycomb Fermi–Pasta–Ulam lattices

DOI10.1088/1751-8113/47/34/345101zbMath1302.35330arXiv1407.2828OpenAlexW1964132677MaRDI QIDQ3190825

Lauren M. James, Jonathan A. D. Wattis

Publication date: 19 September 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2828

zbMATH Keywords

Hamiltoniannonlinear dynamicsnonlinear Schrödinger equationsolitonbreatherFermi-Pasta-Ulam lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Ordinary lattice differential equations (34A33)

Related Items (8)

Breathers in a locally resonant granular chain with precompression ⋮ Magnetic properties on a decorated triangular lattice: a Monte Carlo simulation ⋮ Intrinsic localized modes in a two-dimensional checkerboard ferromagnetic lattice ⋮ Asymptotic analysis of breather modes in a two-dimensional mechanical lattice ⋮ Quantum breathers in a two-dimensional hexangular Heisenberg ferromagnet ⋮ Modulational instability in addition to discrete breathers in 2D quantum ultracold atoms loaded in optical lattices ⋮ Asymptotic approximations to travelling waves in the diatomic Fermi-pasta-Ulam lattice ⋮ Nonlinear propagating localized modes in a 2D hexagonal crystal lattice

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