  The behavior of the neutrino flux in vortex and twisting magnetic fields is
considered within the left-right symmetric model. By way of illustration of the
magnetic fields we discuss the magnetic fields of the coupled sunspots (CS's)
which are the sources of the future solar flares. It is expected that the
neutrinos have such multipole moments as the charge radius, the magnetic and
anapole moments. The evolution equation in the Schrodinger-like form is found
and all magnetic-induced resonance conversions are analyzed. It is demonstrated
that in the case of the high-energy flares the sizeable depletion of the
$\nu_{eL}$ neutrinos caused by their resonance absorptions takes place.
Possibilities of observations of this phenomena are investigated at neutrino
telescopes whose work is based on the reaction of the coherent elastic
neutrino-nucleus scattering.
