A spherical-harmonic reduction turns the spectral stability of one- and bi-frequency solitary waves in the 3D Soler model into radial ODE systems, with bi-frequency waves potentially more stable.
Abenda, http://www.numdam.org/item/AIHPA_1998__68_2_229_0 Solitary waves for M axwell-- D irac and C oulomb-- D irac models\/ , Ann
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On spectral stability of one- and bi-frequency solitary waves in Soler model in (3+1)D
A spherical-harmonic reduction turns the spectral stability of one- and bi-frequency solitary waves in the 3D Soler model into radial ODE systems, with bi-frequency waves potentially more stable.