Tuesday, May 29, 2018 - 09:00 in V2-210/216
On stability of solitary waves of the nonlinear Dirac equation
A talk in the Keine Reihe series by
Nabile Boussaïd from Université de Franche-Comté, Besançon
| Abstract: |
This is a joint work with Andrew Comech from Texas A$\&$m. We construct bi-frequency solitary waves of the nonlinear Dirac equation with the scalar self-interaction, known as the Soler model (with an arbitrary nonlinearity and in arbitrary dimension) and the Dirac–Klein–Gordon with Yukawa self-interaction.
We show the relation of $\pm 2 i \omega$ eigenvalues of the linearization at a solitary wave, Bogoliubov $SU(1,1)$ symmetry, and the existence of bi-frequency solitary waves. We show that the spectral stability of these waves reduces to spectral stability of usual (one-frequency) solitary waves which we obtained in our previous work.
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