Electric flux tube solutions in SU(3) gauge theory

We consider electric flux tube solutions in SU(3) gauge theory with scalar fields in the fundamental representation. Such solutions can possibly be constructed in two classes, corresponding to the two maximally commuting generators $λ_3$ and $λ_8$ of SU(3). We successfully construct the 3-type solution with two scalar fields and show that it is immune to decay through Schwinger pair production of gauge bosons but we have not been able to construct an 8-type solution.