Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains

DOI10.1088/0951-7715/28/8/2767zbMath1342.37074arXiv1502.03937OpenAlexW3105310439MaRDI QIDQ3196541

Karsten Matthies, Michael Herrmann

Publication date: 29 October 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03937

zbMATH Keywords

nonlinear wavesasymptotic analysislattice differential equationshigh-energy limitFPU-type chains

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (12)

Unstable dynamics of solitary traveling waves in a lattice with long-range interactions ⋮ Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ Solitary waves in FPU-type lattices ⋮ Unnamed Item ⋮ 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 ⋮ Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ Solitary waves in mass-in-mass lattices ⋮ Solitary waves in atomic chains and peridynamical media ⋮ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains ⋮ Scaling relations for auxin waves

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