L2 orbital stability of Dirac solitons in the massive Thirring model. Issue 2 (1st February 2016)

• Record Type: Journal Article
• Authors: Contreras, Andres; Pelinovsky, Dmitry E.; Shimabukuro, Yusuke
• Is Part Of: Communications in partial differential equations. Volume 41:Issue 2(2016)
• Page Start: 227
• Page End: 255
• Publication Date: 2016-02-01
• Subjects: Auto–Bäcklund transformation -- conserved quantities -- Dirac solitons -- Lax operators -- massive Thirring model -- orbital stability; 35Q41 -- 35Q51 -- 35Q75 -- 37K10 -- 37K45; Differential equations, Partial -- Periodicals; 515.353
• DOI: 10.1080/03605302.2015.1123272
• Languages: English
• ISSNs: 0360-5302

Abstract

ABSTRACT: We prove L 2 orbital stability of Dirac solitons in the massive Thirring model. Our method uses local well posedness of the massive Thirring model in L 2, 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.