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- Title
Nonlinear acoustic waves in channels with variable cross sections.
- Authors
Kovalev, V.; Rudenko, O.
- Abstract
The point symmetry group is studied for the generalized Webster-type equation describing nonlinear acoustic waves in lossy channels with variable cross sections. It is shown that, for certain types of cross section profiles, the allowed symmetry group is extended and the invariant solutions corresponding to these profiles are obtained. Approximate analytic solutions to the generalized Webster equation are derived for channels with smoothly varying cross sections and arbitrary initial conditions.
- Subjects
NONLINEAR acoustics; NONLINEAR theories; SOUND waves; SYMMETRY groups; NUCLEAR cross sections
- Publication
Acoustical Physics, 2012, Vol 57, Issue 3, p269
- ISSN
1063-7710
- Publication type
Article
- DOI
10.1134/S1063771012030086