(L^2\) 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 analysis uses local well posedness of the massive Thirring model in \(L^2\), conservation of the charge functional, and the auto--B\"{a}cklund transformation. The latter transformation exists because the mas...

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Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Contreras, Andres, Pelinovsky, Dmitry E, Shimabukuro, Yusuke
Format: Article
Language:English
Subjects:
Inverse scattering
Orbital stability
Solitary waves
Stability analysis
Transformations
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 analysis uses local well posedness of the massive Thirring model in \(L^2\), conservation of the charge functional, and the auto--B\"{a}cklund transformation. The latter transformation exists because the massive Thirring model is integrable via the inverse scattering transform method.
ISSN:2331-8422