  Exact self-consistent soliton dynamics based on the Bogoliubov-de Gennes
(BdG) formalism in unconventional Fermi superfluids/superconductors possessing
an $SU(d)$-symmetric two-body interaction is presented. The derivation is based
on the ansatz having the similar form as the Gelfand-Levitan-Marchenko equation
in the inverse scattering theory. Our solutions can be regarded as a
multicomponent generalization of the solutions recently derived by Dunne and
Thies [Phys. Rev. Lett. 111, 121602 (2013)]. We also propose superpositions of
occupation states, which make it possible to realize various filling rates even
in one-flavor systems, and include Dirac and Majorana fermions. The soliton
solutions in the $ d=2 $ systems, which describe the mixture of singlet
$s$-wave and triplet $p$-wave superfluids, exhibit a variety of phenomena such
as SU(2)-DHN breathers, Majorana triplet states, $s$-$p$ mixed dynamics, and so
on. These solutions are illustrated by animations, where order parameters are
visualized by spherical harmonic functions. The full formulation of the BdG
theory is also supported, and the double-counting problem of BdG eigenstates
and $N$-flavor generalization are discussed.
