What is it about?

What for do we derive differential equations when studying natural phenomena? To analyze their solutions from different standpoints and, maybe, to predict new effects. If an equation cannot serve to this purpose it seemed to be changed. So it has been done in the proposed work: an old partial differential equation was re-derived to make it more useful for analysis of nonlinear acoustic waves propagation in media with relaxation mechanisms.

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Why is it important?

In reality sound waves very rarely propagate under ideal conditions of stable uniform media. Study of sound in a gaseous or liquid substance, where some relaxation processes take place, is one of possible small steps beyond those limits towards practical applications.

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This page is a summary of: On the evolution equation for finite amplitude sound in relaxing media, AIP Advances, June 2020, American Institute of Physics, DOI: 10.1063/5.0009655.
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