Acoustic Waves in Media with Quadratically Bimodular Nonlinearity and Linear Dissipation


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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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