  Recently the most general static self-consistent multi-soliton solutions in
Bogoliubov-de Gennes and chiral Gross-Neveu systems are derived by the present
authors [D. A. Takahashi and M. Nitta, Phys. Rev. Lett. 110, 131601 (2013)].
Here we show a few complementary results, which were absent in the previous our
work. We prove directly from the gap equation that the self-consistent
solutions need to have reflectionless potentials. We also give the
self-consistent condition for the system consisting of only right-movers, which
is more used in high-energy physics.
