Travelling lattice waves in a toy model of Lennard-Jones interaction

DOI10.1090/S0033-569X-2013-01320-4zbMath1339.37083OpenAlexW1971135425WikidataQ59902158 ScholiaQ59902158MaRDI QIDQ5402128

Christine R. Venney, Johannes Zimmer

Publication date: 5 March 2014

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2013-01320-4

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Soliton solutions (35C08)

Related Items (5)

Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ Small mass nanopteron traveling waves in mass-in-mass lattices with cubic FPUT potential ⋮ Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples ⋮ Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices ⋮ Solitary waves in mass-in-mass lattices

Cites Work

• Unnamed Item
• Periodic and homoclinic travelling waves in infinite lattices
• Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
• Über maximale \(L^ p\)-Regularität für Differentialgleichungen in Banach- und Hilbert-Räumen. (On maximal \(L^ p\)-regularity for differential equations in Banach and Hilbert spaces)
• Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
• Travelling waves in a chain of coupled nonlinear oscillators
• Perturbation theory for linear operators.
• Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours
• Travelling waves in discrete nonlinear systems with non-nearest neighbour interactions
• Approximations to solitary waves on lattices, III: the monatomic lattice with second-neighbour interactions
• Travelling waves in the Fermi-Pasta-Ulam lattice
• Localized waves in nonlinear oscillator chains

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