We show that two distinct realizations of the SU(3) symmetry---the Gell-Mann SU(3) symmetry in quark physics and the Elliott SU(3) symmetry in nuclear physics---can be applied to the same dynamical system in intense-field electrodynamics under different experimental conditions. We also present a set of simultaneous soliton solutions in the Elliott SU(3)-symmetry scheme which has not been derived previously.
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F. T. Hioe (1983) studied this question.
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