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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AIP Publishing LLC
2020-06-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0009655 |
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doaj-fe08386815e340fab3b33e55bef26b5e2020-11-25T03:06:46ZengAIP Publishing LLCAIP Advances2158-32262020-06-01106065012065012-510.1063/5.0009655On the evolution equation for finite amplitude sound in relaxing mediaAlexander I. Kozlov0Chair of Medical and Biological Physics, Vitebsk State Medical University, Frunze Street 27, 210023 Vitebsk, Republic of BelarusThe 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.http://dx.doi.org/10.1063/5.0009655 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alexander I. Kozlov |
| spellingShingle |
Alexander I. Kozlov On the evolution equation for finite amplitude sound in relaxing media AIP Advances |
| author_facet |
Alexander I. Kozlov |
| author_sort |
Alexander I. Kozlov |
| title |
On the evolution equation for finite amplitude sound in relaxing media |
| title_short |
On the evolution equation for finite amplitude sound in relaxing media |
| title_full |
On the evolution equation for finite amplitude sound in relaxing media |
| title_fullStr |
On the evolution equation for finite amplitude sound in relaxing media |
| title_full_unstemmed |
On the evolution equation for finite amplitude sound in relaxing media |
| title_sort |
on the evolution equation for finite amplitude sound in relaxing media |
| publisher |
AIP Publishing LLC |
| series |
AIP Advances |
| issn |
2158-3226 |
| publishDate |
2020-06-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1063/5.0009655 |
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AT alexanderikozlov ontheevolutionequationforfiniteamplitudesoundinrelaxingmedia |
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