M. Bode et Hg. Purwins, PATTERN-FORMATION IN REACTION-DIFFUSION SYSTEMS - DISSIPATIVE SOLITONS IN PHYSICAL SYSTEMS, Physica. D, 86(1-2), 1995, pp. 53-63
Two-component reaction-diffusion systems are discussed. These systems
may have dissipative solitons as solutions. This is demonstrated by re
porting recent experimental results obtained from physical systems. Ge
neration of dissipative solitons and their behaviour is discussed theo
retically in terms of interacting fronts. Various patterns as there ar
e stationary and moving fronts, cascades of stationary dissipative sol
itons and travelling, swinging and breathing solitons are the natural
outcome of the theory.