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arXiv · 2303.01437

Symmetries and invariant solutions of the wave equation for shear disturbances in soft solids

Alexander I. Kozlov
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Abstract

The Lie-group approach was applied to determine symmetries of the third-order non-linear equation formulated for description of shear elastic disturbances in soft solids. Invariant solutions to this equation are derived and it turned out that they could represent outgoing or incoming exponentially decaying or unbounded disturbances.

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Alexander I. Kozlov. 2023-03-02. Symmetries and invariant solutions of the wave equation for shear disturbances in soft solids. https://arxiv.org/abs/2303.01437

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