Non-linear wave steepening refers to the process by which the shape of a wave changes, becoming steeper and sharper due to the effects of non-linearity in the wave's propagation. This phenomenon occurs when faster-moving portions of a wave travel ahead of slower portions, causing the overall waveform to evolve into a more pronounced peak. This effect is particularly significant in the study of shock structures and dissipation mechanisms, where steepened waves can lead to the formation of shocks and complex flow patterns.
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