2 papers
math.AP2025
Stable bi-frequency spinor modes as Dark Matter candidates
Andrew Comech, Niranjana Kulkarni, Nabile Boussaïd +1
We show that spinor systems with scalar self-interaction, such as the Dirac--Klein--Gordon system with Yukawa coupling or the Soler model, generically have bi-frequency solitary wa…
math.AP2024
On spectral stability of one- and bi-frequency solitary waves in Soler model in (3+1)D
Nabile Boussaïd, Andrew Comech, Niranjana Kulkarni
For the nonlinear Dirac equation with scalar self-interaction (the Soler model) in three spatial dimensions, we consider the linearization at solitary wave solutions and find the i…