Asymptotic stability of small gap solitons in the nonlinear Dirac equations
Mathematical Physics
2010-08-27 v1 math.MP
Abstract
We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with quintic and higher-order nonlinear terms.
Keywords
Cite
@article{arxiv.1008.4514,
title = {Asymptotic stability of small gap solitons in the nonlinear Dirac equations},
author = {Dmitry E. Pelinovsky and Atanas Stefanov},
journal= {arXiv preprint arXiv:1008.4514},
year = {2010}
}
Comments
26 pages, no figures