  In astrophysical environments such as core-collapse supernovae and neutron
star-neutron star or neutron star-black hole mergers where dense neutrino media
are present, matter-neutrino resonances (MNRs) can occur when the neutrino
propagation potentials due to neutrino-electron and neutrino-neutrino forward
scattering nearly cancel each other. We show that neutrino flavor
transformation through MNRs can be explained by multiple adiabatic solutions
similar to the Mikheyev-Smirnov-Wolfenstein mechanism. We find that for the
normal neutrino mass hierarchy, neutrino flavor evolution through MNRs can be
sensitive to the shape of neutrino spectra and the adiabaticity of the system,
but such sensitivity is absent for the inverted hierarchy.
