Retracting fronts for the nonlinear complex heat equation
Réocreux, Guillaume · Risler, Emmanuel
Original · EN
The "nonlinear complex heat equation" Aₜ=i|A|²A+Axx was introduced by P. Coullet and L. Kramer as a model equation exhibiting travelling fronts induced by non-variational effects, called "retracting fronts". In this paper we study the existence of such fronts. They go by one-parameter families, bounded at one end by the slowest and "steepest" front among the family, a situation presenting striking analogies with front propagation into unstable states.
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