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O. Rudenko (2014)
Nonlinear integro-differential models for intense waves in media like biological tissues and geostructures with complex internal relaxation-type dynamicsAcoustical Physics, 60
I. Demin, S. Gurbatov, N. Pronchatov-Rubtsov, O. Rudenko, A. Krainov (2013)
The numerical simulation of propagation of intensive acoustic noiseJournal of the Acoustical Society of America, 19
O V Rudenko (2013)
Proc. 5th Int. Conf. “Frontiers of Nonlinear Physics,”
E M Lifshitz (1987)
Theoretical Physics, vol. 6, Fluid Mechanics, 6
O . V . Rudenko , Acoust
O. Rudenko, S. Gurbatov, I. Demin (2013)
Nonlinear noise waves in soft biological tissuesAcoustical Physics, 59
(1987)
Theoretical Physics, vol
Oleg Rudenko, Oleg Rudenko (2010)
The 40th anniversary of the Khokhlov-Zabolotskaya equationAcoustical Physics, 56
N. Ibragimov, S. Meleshko, O. Rudenko (2011)
Group analysis of evolutionary integro-differential equations describing nonlinear waves: the general modelJournal of Physics A: Mathematical and Theoretical, 44
Oleg Rudenko, Oleg Rudenko, Oleg Rudenko, S. Gurbatov (2012)
Noise signal propagation in soft biological tissuesAcoustical Physics, 58
Abstract An integro-differential equation is written down that contains terms responsible for nonlinear absorption, visco-heat-conducting dissipation, and relaxation processes in a medium. A general integral expression is obtained for calculating energy losses of the wave with arbitrary characteristics—intensity, profile (frequency spectrum), and kernel describing the internal dynamics of the medium. It is shown that for weak waves, the general integral leads to well-known results of a linear approximation. Profiles of stationary solutions are constructed both for an exponential relaxation kernel and for other types of kernels. Energy losses at the front of week shock waves are calculated. General integral formulas are obtained for energy losses of intense noise, which are determined by the form of the kernel, the structure of the noise correlation function, and the mean square of the derivative of realization of a random process.
Acoustical Physics – Springer Journals
Published: Sep 1, 2014
Keywords: Acoustics
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