DISCONTINUOUS SYMMETRIES OF DIFFERENTIAL EQUATIONS Alexey V. Samokhin Key words: Symmetry, discontinuity, characteristics, magnetohydrodynamics. 1991 Math. Subject Classification: 58G35, 35Q60. Abstract: An interaction between discontinuous symmetries and/or solutions and possible meaningful types of breaks is discussed. The general concept is illustrated by a system describing 3+1 magnetohydrodynamics of plasma in tokamak type facilities.