  We study the pion and kaon properties in nuclear medium at nonvanishing
temperature and baryon density as well as in the presence of magnetic field in
the Nambu--Jona-Lasinio (NJL) model with the help of the proper-time
regularization scheme, simulating a confinement. The density dependent of the
quark masses are obtained from the quark-meson coupling (QMC) model in the
symmetric nuclear matter at the quark level. We analyze the quark condensate,
dynamical mass, pion and kaon masses, pion- and kaon-quark coupling constants
as well as wave function renormalization factors for those mesons of finite
temperature and in the presence of magnetic field for different baryon
densities. We find the chiral condensate for the up quark suppresses with
increasing temperature and baryon density and enhances under the presence of
magnetic field. Interestingly, we find that the wave function renormalization
for the pion and kaon increases with respect to the temperature and decreases
as the baryon density increases.
