Acoustic Waves in Media with Quadratically Bimodular Nonlinearity and Linear Dissipation
- Authors: Nazarov V.E.1, Kiyashko S.B.1, Radostin A.V.1
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Affiliations:
- Institute of Applied Physics of the Russian Academy of Sciences
- Issue: Vol 61, No 6 (2018)
- Pages: 418-425
- Section: Article
- URL: https://journal-vniispk.ru/0033-8443/article/view/243894
- DOI: https://doi.org/10.1007/s11141-018-9903-6
- ID: 243894
Cite item
Abstract
We study, both theoretically and numerically, propagation of the longitudinal elastic waves in the media with quadratically bimodular nonlinearity and viscous dissipation. Exact analytical solutions for simple and stationary waves are obtained and numerical solutions for evolution of the initially harmonic waves are given.
About the authors
V. E. Nazarov
Institute of Applied Physics of the Russian Academy of Sciences
Author for correspondence.
Email: nazarov@hydro.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod
S. B. Kiyashko
Institute of Applied Physics of the Russian Academy of Sciences
Email: nazarov@hydro.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod
A. V. Radostin
Institute of Applied Physics of the Russian Academy of Sciences
Email: nazarov@hydro.appl.sci-nnov.ru
Russian Federation, Nizhny Novgorod
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