软固体中剪切扰动波动方程的对称性和不变解
Symmetries and invariant solutions of the wave equation for shear disturbances in soft solids
摘要：
应用李群方法确定了描述软固体中剪切弹性扰动的三阶非线性方程的对称性。导出了该方程的不变解，结果表明，它们可以表示传出或传入的指数衰减或无界扰动。
英文摘要：
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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