Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^2$ 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 massive Thirring
model is integrable via the inverse scattering transform method.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn