Retracting fronts for the nonlinear complex heat equation
| Autor: | Réocreux, Guillaume, Risler, Emmanuel |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The "nonlinear complex heat equation" $A_t=i|A|^2A+A_{xx}$ 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. Comment: 21 pages, 6 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|