Journal article
Long-time stability of small FPU solitary waves
Abstract
Small-amplitude waves in the Fermi-Pasta-Ulam (FPU) lattice with weakly anharmonic interaction potentialsare described by the generalized Korteweg-de Vries (KdV) equation. Justification of the small-amplitudeapproximation is usually performed on the time scale, for which dynamics of the KdV equation is defined.We show how to extend justification analysis on longer time intervals provided dynamics of the generalized KdVequation is globally …
Authors
Khan A; Pelinovsky DE
Journal
Discrete and Continuous Dynamical Systems, Vol. 37, No. 4, pp. 2065–2075
Publisher
American Institute of Mathematical Sciences (AIMS)
Publication Date
2017
DOI
10.3934/dcds.2017088
ISSN
1078-0947