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According to a previous question:

Modes of propagation in media

acoustic waves in media can be decomposed in two kinds of modes: longitudinal and transverse; solids being the only one where they are both present.

According to this answer: acoustic waves in water, it's due to the fact that transversal excitations in a liquid are very rapidly damped and don't propagate in any measureable way.

But, what about liquid crystals, do they present transversal modes?

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The transversal modes are non-propagating. Please, take a look on this article:

https://scholar.google.com.br/scholar?hl=en&as_sdt=0%2C5&q=https%3A%2F%2Fjournals.aps.org%2Frmp%2Fabstract%2F10.1103%2FRevModPhys.46.617&btnG=

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