Orbital stability of Dirac solitons

2013/04/05 by Dmitry E. Pelinovsky, Yusuke Shimabukuro · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.AP #math.MP #nlin.SI

paper · pdf · doi:10.1007/s11005-013-0650-5

18 pages

arxiv created 2013/04/05 · arxiv updated 2015/06/15

Abstract

We prove H¹ orbital stability of Dirac solitons in the integrable massive Thirring model by working with an additional conserved quantity which complements Hamiltonian, momentum and charge functionals of the general nonlinear Dirac equations. We also derive a global bound on the H¹ norm of the L²-small solutions of the massive Thirring model.

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