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

Andres Contreras; Dmitry E. Pelinovsky; Yusuke Shimabukuro

arxiv: 1312.1019 · v1 · pith:UZM4OEOYnew · submitted 2013-12-04 · 🧮 math.AP

L² orbital stability of Dirac solitons in the massive Thirring model

Andres Contreras , Dmitry E. Pelinovsky , Yusuke Shimabukuro This is my paper

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keywords massivemodelthirringdiracorbitalsolitonsstabilitytransformation

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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.

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L² orbital stability of Dirac solitons in the massive Thirring model

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