ABSTRACT
This paper is devoted to a new approach to study combustion waves and branching chain flames with complex kinetics. We develop a mathematical theory of travelling wave solutions for some classes of parabolic systems, and show that react ion-diffusion systems desribing chemical waves under some conditions can be reduced to these classes of systems. We obtain conditions of uniqueness and stability of combustion waves and cold flames, and find their velocity. Key words: combustion, cold flames, complex kinetics.
