Abstract

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 described phenomenologically by a nonlinear partial differential equation. The equation is studied numerically, and the presence of the stable spinning and autosoliton solutions is shown.

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