On the evolution equation for finite amplitude sound in relaxing media
The evolution equation for finite amplitude acoustic waves in a relaxing medium is usually analyzed approximately or numerically. Attempts to find exact solutions to that equation using different approaches including classical and non-classical symmetries and conservation laws are described in this...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2020-06-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0009655 |
| Summary: | The evolution equation for finite amplitude acoustic waves in a relaxing medium is usually analyzed approximately or numerically. Attempts to find exact solutions to that equation using different approaches including classical and non-classical symmetries and conservation laws are described in this work. All obtained solutions are essentially non-limited in the space coordinate, and this fact had led to the proposition that validity of the initial equation in the general case should be revised. A correction of the evolution equation is proposed in the present work, and solutions in the form of weak shocks are derived for different boundary conditions. |
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| ISSN: | 2158-3226 |