Journal article
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–Bäcklund transformation. The latter transformation exists because the massive Thirring model is integrable via the inverse scattering transform method.
Authors
Contreras A; Pelinovsky DE; Shimabukuro Y
Journal
Communications in Partial Differential Equations, Vol. 41, No. 2, pp. 227–255
Publisher
Taylor & Francis
Publication Date
February 2016
DOI
10.1080/03605302.2015.1123272
ISSN
0360-5302