A Relaxing Medium with “Linearly Weakening Memory”: Evolution of Intense Pulses
- Авторы: Vasilieva O.A.1,2, Rudenko O.V.3,4,5
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Учреждения:
- Moscow State University of Civil Engineering
- Mendeleev University of Chemical Technology of Russia
- Moscow State University, Faculty of Physics
- Prokhorov General Physics Institute, Russian Academy of Sciences
- Schmidt Institute of Physics of the Earth
- Выпуск: Том 65, № 6 (2019)
- Страницы: 665-669
- Раздел: Nonlinear Acoustics
- URL: https://journals.rcsi.science/1063-7710/article/view/187010
- DOI: https://doi.org/10.1134/S1063771019060149
- ID: 187010
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Аннотация
The evolution of pulsed signals in a quadratically nonlinear medium with a special relaxation law is studied. It is believed that the “memory of the medium” weakens according to a linear law and becomes zero within a finite time. Instead of standard integro-differential equations with exponential or fractional power kernels, a model of a medium with a finite memory time is used here. For this model, analysis of complex integro-differential equations reduces to solving a differential-difference equation; at the same time, the amount of calculations is appreciably curtailed. The processes accompanying pulse evolution—shock front formation, nonlinear attenuation, and signal spreading with time—are described. The influence of the relaxation time on these processes is explained.
Об авторах
O. Vasilieva
Moscow State University of Civil Engineering; Mendeleev University of Chemical Technology of Russia
Автор, ответственный за переписку.
Email: vasilievaoa@mgsu.ru
Россия, Moscow, 129337; Moscow, 125047
O. Rudenko
Moscow State University, Faculty of Physics; Prokhorov General Physics Institute, Russian Academy of Sciences; Schmidt Institute of Physics of the Earth
Автор, ответственный за переписку.
Email: rudenko@acs366.phys.msu.ru
Россия, Moscow, 119991; Moscow, 119991; Moscow, 123242
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