We present the results of the studies of propagation of longitudinal acoustic waves in the media with a power-law hysteresis nonlinearity. Exact analytical solutions for the self-similar periodic waves propagating in such media without changing their forms are given. The spectral characteristics of these waves are studied.

中文翻译：

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介质中具有幂律滞后非线性的自相似声波

我们展示了具有幂律滞后非线性的介质中纵向声波传播的研究结果。给出了在这种介质中传播而不改变其形式的自相似周期波的精确解析解。研究了这些波的光谱特性。