  A model of the fluid nonlinear frequency shift of ion acoustic waves (IAWs)
in multi-ion species plasmas is presented, which considers the effect of ion
temperature. Because the thermal ion exists in plasmas in inertial confinement
fusion (ICF) and also solar wind, which should be considered in nonlinear
frequency shift of IAWs. However, the existing models [Berger et al., Physics
of Plasmas 20, 032107 (2013); Q. S. Feng et al., Phys. Rev. E 94, 023205
(2016)] just consider the cold ion fluid models. This complete theory
considering multi-ion species and thermal ions will calculate the frequency of
the large amplitude nonlinear IAWs more accurately, especially the slow mode
with high ion temperature, which will have wide application in space physics
and inertial confinement fusion.
