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.