Localized nonlinear waves in a semiconductor with charged dislocations
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: email@example.com
Published online: 9 September 2021
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
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