  The in-medium masses of the kaons and antikaons in strongly magnetized
asymmetric nuclear matter are studied using a chiral SU(3) model. The medium
modifications of the masses of these open strange pseudoscalar mesons arise due
to their interactions with the nucleons and scalar mesons within the model. The
proton, the charged nucleon, has effects from the Landau energy levels in the
presence of the magnetic field. The anomalous magnetic moments (AMM) of the
nucleons are taken into consideration in the present study and these are seen
to be large at high magnetic fields and high densities. The isospin effects are
appreciable at high densities. The density effects are observed to be the
dominant medium effects, as compared to the effects from magnetic field and
isospin asymmetry. ~
