  It is shown that flavor mixing of the strange and light quarks allows for
existence of a much larger baryonic chemical potential window for the formation
of a stable dual chiral-wave state as compared to the well known two flavor
case. In addition, strangeness catalyzes the occurrence of a new branch of
non-homogeneous solutions at moderate densities. This case study is addressed
at zero temperature within the SU(3) flavor Nambu-Jona-Lasinio model with the
't Hooft determinantal flavor mixing interaction. The modulation of the chiral
condensates in the light quark sector is taken to be one-dimensional, while
strangeness is embedded as a homogeneous condensate in the spontaneously broken
phase of chiral symmetry. A finite current quark mass for the strange quark is
incorporated, while the up and down current masses are set to zero. In that
case the modulation considered provides an exact analytic solution for the
system. Despite the simplicity of the \textit{ansatz}, the emerging phase
diagram displays a very rich structure.
