Heteroclinic Travelling Waves in Convex FPU-Type Chains

DOI10.1137/080743147zbMath1232.37040arXiv0812.1712OpenAlexW3098545108MaRDI QIDQ2999863

Jens D. M. Rademacher, Michael Herrmann

Publication date: 17 May 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.1712

zbMATH Keywords

variational principleenergy conservationfrontsshocksFermi-Pasta-Ulam chain

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear waves in solid mechanics (74J30) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Lattice dynamics; integrable lattice equations (37K60) The dynamics of infinite particle systems (70F45)

Related Items (12)

OSCILLATORY WAVES IN DISCRETE SCALAR CONSERVATION LAWS ⋮ KdV-like solitary waves in two-dimensional FPU-lattices ⋮ KdV waves in atomic chains with nonlocal interactions ⋮ Traveling wave solutions for the FPU chain: a constructive approach ⋮ Action minimising fronts in general FPU-type chains ⋮ Long-time approximations of small-amplitude, long-wavelength FPUT solutions ⋮ Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ Periodic travelling waves in convex Klein-Gordon chains ⋮ Solitary waves in atomic chains and peridynamical media ⋮ Approximation of Polyatomic FPU Lattices by KdV Equations ⋮ Traveling fronts in dissipative granular chains and nonlinear lattices

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