On global existence of localized solutions of some nonlinear lattices
Disordered Systems and Neural Networks
2007-05-23 v1 Pattern Formation and Solitons
Abstract
We prove global existence and uniqueness of solutions of some important nonlinear lattices which include the Fermi-Pasta-Ulam (FPU) lattice. Our result shows (on a particular example) that the FPU lattice with high nonlinearity and its continuum limit display drastically different behaviour with respect to blow up phenomenon.
Keywords
Cite
@article{arxiv.cond-mat/0002244,
title = {On global existence of localized solutions of some nonlinear lattices},
author = {G. Perla Menzala and V. V. Konotop},
journal= {arXiv preprint arXiv:cond-mat/0002244},
year = {2007}
}
Comments
LATEX 16 pages (no figures). To appear in Applicable Analysis