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arXiv · 1312.1019

$L^2$ orbital stability of Dirac solitons in the massive Thirring model

Andres Contreras·Dmitry E. Pelinovsky·Yusuke Shimabukuro
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Abstract

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--Bäcklund transformation. The latter transformation exists because the massive Thirring model is integrable via the inverse scattering transform method.

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Andres Contreras, Dmitry E. Pelinovsky, Yusuke Shimabukuro. 2013-12-04. $L^2$ orbital stability of Dirac solitons in the massive Thirring model. https://arxiv.org/abs/1312.1019

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