Аннотация:In the last decade, an urgent and practically significant problem has been producing of high-quality joints of highstrength steels and alloys.For its solution the technologies are required which are distinguished by a high-concentration heating at a minimum energy input, including in continuous flash-butt welding of railway rails.To solve this problem, a mathematical model of the process of metal heating in continuous flash-butt welding was developed.The model allows avoiding labor-consuming and expensive experiments and significantly expanding the range of searching the ways of optimizing at a multifactor control of welding parameters, affecting, in particular, the formation of the temperature field in continuous flash-butt welding of rails.8. Ref., 12 Figures.