D.E Pelinovsky and A. Stefanov
Asymptotic stability of small gap solitons in the nonlinear Dirac equations
Journal of Mathematical Physics 53, 073705 (27 pages) (2012)
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:
nonlinear Dirac equations, gap solitons, asymptotic stability,
dispersive estimates.