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math-ph2017★ 1 cited
Spectral stability of bi-frequency solitary waves in Soler and Dirac--Klein--Gordon models
Nabile Boussaid, Andrew Comech
We construct bi-frequency solitary waves of the nonlinear Dirac equation with the scalar self-interaction (the Soler model) and the Dirac--Klein--Gordon with Yukawa self-interactio…
math-ph2005★ 66 cited
Stable directions for small nonlinear Dirac standing waves
Nabile Boussaid
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear oper…