A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam Model Near the KdV Limit

DOI10.1007/978-1-4614-4523-4_7zbMath1275.37035arXiv0811.2406OpenAlexW2146515776MaRDI QIDQ4913739

Aaron Hoffman, C. Eugene Wayne

Publication date: 9 April 2013

Published in: Infinite Dimensional Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2406

zbMATH Keywords

solitary waveasymptotic stabilityFermi-Pasta-Ulam model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

Unstable dynamics of solitary traveling waves in a lattice with long-range interactions ⋮ Solitary waves in FPU-type lattices ⋮ KdV-like solitary waves in two-dimensional FPU-lattices ⋮ Periodic travelling waves and compactons in granular chains ⋮ KdV waves in atomic chains with nonlocal interactions ⋮ Traveling wave solutions for the FPU chain: a constructive approach ⋮ On asymptotic stability of nonlinear waves ⋮ Solitary waves in atomic chains and peridynamical media ⋮ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains ⋮ Exact Diatomic Fermi--Pasta--Ulam--Tsingou Solitary Waves with Optical Band Ripples at Infinity

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