A. Contreras, D.E. Pelinovsky, and Y. Shimabukuro
L2 orbital stability of Dirac solitons in the massive Thirring model
Abstract:
We prove L2 orbital stability of Dirac solitons in the massive
Thirring model. Our method uses local well posedness
of the massive Thirring model in L2, conservation of the charge functional,
and the auto-Backlund transformation. The latter transformation
exists because the massive Thirring model is integrable via the inverse scattering
transform method.
Keywords:
nonlinear Dirac equations, inverse scattering, stability of solitary waves, Backlund transformation