Autosoliton model of the spinning fronts of reaction

Experiments with reaction fronts (detonation waves and solid flames) reveal that, near the combustion limit, the fronts move in a spinning regime when localized zones of intensive reaction travel along spiral trajectories. In the paper, the spinning wave is interpreted as an autosoliton and describe d phenomenologically by a nonlinear partial differential equation. The equa tion is studied numerically, and the presence of the stable spinning and au tosoliton solutions is shown.