Email this article Effect of Defects on the Spatial Localization of Nonlinear Acoustic Waves
- Authors: Erofeev V.I.1,2, Leonteva A.V.1, Malhanov A.O.1
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Affiliations:
- Mechanical Engineering Research Institute, Institute of Applied Physics
- Lobachevsky State University
- Issue: Vol 82, No 5 (2018)
- Pages: 520-525
- Section: Article
- URL: https://journals.rcsi.science/1062-8738/article/view/185379
- DOI: https://doi.org/10.3103/S1062873818050088
- ID: 185379
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Abstract
A self-consistent mathematical model that includes equations of elasticity theory and kinetic equations for the density of different types of point defects is reduced to a nonlinear equation of evolution that combines the familiar Korteweg–de Vries–Burgers and Klein–Gordon equations of wave dynamics. Exact analytical solutions for this equation are found and analyzed.
About the authors
V. I. Erofeev
Mechanical Engineering Research Institute, Institute of Applied Physics; Lobachevsky State University
Author for correspondence.
Email: erof.vi@yandex.ru
Russian Federation, Nizhny Novgorod, 603024; Nizhny Novgorod, 603022
A. V. Leonteva
Mechanical Engineering Research Institute, Institute of Applied Physics
Email: erof.vi@yandex.ru
Russian Federation, Nizhny Novgorod, 603024
A. O. Malhanov
Mechanical Engineering Research Institute, Institute of Applied Physics
Email: erof.vi@yandex.ru
Russian Federation, Nizhny Novgorod, 603024
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