damped wave

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damped wave

[¦dampt ‚wāv]
(physics)
A wave whose amplitude drops exponentially with distance because of energy losses which are proportional to the square of the amplitude.
A wave in which the amplitudes of successive cycles progressively diminish at the source.
References in periodicals archive ?
West, "Analysis of damped waves using the boundary element method," Wet Transaction Model Simulation, vol.
Such situations are frequently met when dealing with waves whose behavior exhibits diffusion phenomena which can only be described using the damped wave equation.
A damped wave in general is a wave whose amplitude of oscillation decreases with time.
In fact, many authors have studied different classes of damped wave equations by investigating their solutions or by studying their asymptotic behavior [17-19].
The aim of this paper is to extend the investigation of damped wave equations of Ibragimov [22] by considering the (2 + 1)-dimensional nonlinear damped wave equation given by
Symmetry Classification of the Damped Wave Equation
The damped wave equation, that is (2), in this case is reduced to
In this paper, we carried out a symmetry classification of the (2 + 1)-dimensional nonlinear damped wave equation.
The study presented in this paper paves the way for further investigation regarding nonlinear damped wave equations arising in mathematical physics or other scientific fields.
Jradeh, "On the damped wave equation," in Proceedings of the 12th International Conference on Hyperbolic Problems, College Park, Md, USA, June 2008.
Copetti, "Numerical analysis for a locally damped wave equation," Journal of Applied Analysis and Computation, vol.