| Issue |
EPJ Web Conf.
Volume 250, 2021
DYMAT 2021 - 13th International Conference on the Mechanical and Physical Behaviour of Materials under Dynamic Loading
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|
|---|---|---|
| Article Number | 03012 | |
| Number of page(s) | 5 | |
| Section | Microstructural Effects | |
| DOI | https://doi.org/10.1051/epjconf/202125003012 | |
| Published online | 09 September 2021 | |
https://doi.org/10.1051/epjconf/202125003012
Localized nonlinear waves in a semiconductor with charged dislocations
1
Mechanical Engineering Research Institute of Russian Academy of Sciences, 85, Belinskogo st., Nizhny Novgorod, 603024, Russia
2
Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia, 24B Baghramyan Ave., Yerevan, 0019, Armenia
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Published online: 9 September 2021
Abstract
To describe a nonlinear ultrasonic wave in a semiconductor with charged dislocations, an evolution equation is obtained that generalizes the well-known equations of wave dynamics: Burgers and Korteweg de Vries. By the method of truncated decompositions, an exact analytical solution of the evolution equation with a kink profile has been found. The kind of kink (increasing, decreasing) and its polarity depend on the values of the parameters and their signs. An ultrasonic wave in a semiconductor containing numerous charged dislocations is considered. It is assumed that there is a constant electric field that creates an electric current. The situation is similar to the case of the propagation of ultrasonic waves in piezoelectric semiconductors, but in the problem under consideration, instead of the electric field due to the piezoelectric properties of the medium, the electric field of dislocations appears.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.