Cnoidal waves on Fermi-Pasta-Ulam lattices

DOI10.1007/s10884-013-9343-0zbMath1382.37080arXiv1208.2805OpenAlexW2963434362MaRDI QIDQ282359

Gero Friesecke, Alice Mikikits-Leitner

Publication date: 12 May 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2805

zbMATH Keywords

solitonsKorteweg-de Vries equationcnoidal wave solutionsFermi-Pasta-Ulam problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Renormalization group methods in equilibrium statistical mechanics (82B28) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Soliton solutions (35C08)

Related Items

Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ KdV-like solitary waves in two-dimensional FPU-lattices ⋮ KdV waves in atomic chains with nonlocal interactions ⋮ Memory effects in the Fermi-Pasta-Ulam model ⋮ Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ Solitary waves on nonlocal Fermi-Pasta-Ulam lattices: exponential localization ⋮ Small amplitude traveling waves in the full-dispersion Whitham equation ⋮ Solitary waves in atomic chains and peridynamical media ⋮ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains ⋮ Justification of the KP-II approximation in dynamics of two-dimensional FPU systems

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