A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam model near the KdV Limit

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174194By combining results of Mizumachi on the stability of solitons for the Toda lattice with a simple rescaling and a careful control of the KdV limit we give a simple proof that small amplitude, long-wavelength solitary waves in the Fermi-Pasta-Ulam (FPU) model are linearly stable and hence by the results of Friesecke and Pego that they are also nonlinearly, asymptotically stable.Pattern Formation and SolitonsA Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam model near the KdV Limittext