L2 orbital stability of Dirac solitons in the massive Thirring model

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...

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Bibliographic Details
Published in:Communications in partial differential equations 2016-02, Vol.41 (2), p.227-255
Main Authors: Contreras, Andres, Pelinovsky, Dmitry E., Shimabukuro, Yusuke
Format: Article
Language:English
Subjects:
Auto-Bäcklund transformation
conserved quantities
Dirac solitons
Lax operators
massive Thirring model
orbital stability
Online Access:Get full text
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Summary: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.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2015.1123272