Journal Article10.1016/0165-2125(93)90007-3
A method for obtaining evolution equations for nonlinear waves in a random medium
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TL;DR: In this paper, the authors extended the mean waveform method to nonlinear problems and developed a systematic approach which enables the construction of an approximate deterministic evolution equation for a given quasi-hyperbolic and quasi-linear system of equations with weak nonlinearity and stationary random coefficients.
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About: This article is published in Wave Motion. The article was published on 01 May 1993. The article focuses on the topics: Independent equation & Nonlinear system.
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Citations
Asymptotic Equations for Nonlinear Hyperbolic Waves
John K. Hunter
- 01 Jan 1995
TL;DR: Universal asymptotic equations as discussed by the authors provide a common theoretical core for the study of nonlinear waves in an enormous number of diverse physical systems, and are universal in their applicability depends only on a few, very general features of the wave motion, such as the form of the linearized dispersion relation and the type of non linearity acting on the wave.
35
Solar acoustic oscillations in a random density field
TL;DR: In this paper, the influence of a space-dependent random mass density field on the development of solar p -modes using analytical and numerical means is investigated using a perturbative approach, which is valid for a weak random field and small amplitude waves.
Berkhoff approximation in a problem on surface gravity wave propagation in a basin with bottom irregularities
TL;DR: In this paper, the problem of the propagation of small-amplitude surface gravity waves in a basin of constant mean depth with one-and two-dimensional bottom roughness is solved in the framework of the Berkhoff model by a mean-field method.
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Localization of nonlinear dispersive waves in weakly random media
Chiang C. Mei,Jørgen H. Pihl +1 more
TL;DR: In this article, the envelope equation for the propagation of slowly modulated waves in random media can be derived straightforwardly by multiple-scale expansions by combining effects of weak nonlinearity, dispersion and random irregularities, leading to a nonlinear Schroodinger equation with a complex damping term.
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Nonlinear hyperbolic wave propagation in a one-dimensional random medium
John Thoo,John K. Hunter +1 more
TL;DR: In this article, the authors used an asymptotic expansion introduced by Benilov and Pelinovskiĭ to study the propagation of a weakly nonlinear hyperbolic wave pulse through a stationary random medium in one space dimension.
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References
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Perturbation Methods
Ali H. Nayfeh,Vimal Singh +1 more
- 01 Jan 1973
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
5.5K
Propagation of weak shock waves through turbulence
TL;DR: In this article, the effect of turbulence on the structure of weak shock waves is investigated and the equilibrium structure is shown to be governed by a balance between nonlinear steepening and the turbulent scattering of acoustic energy out of the main wave direction.
58
Propagation of sonic booms and other weak nonlinear waves through turbulence
TL;DR: In this paper, the authors investigated the structure of weak shocks propagating over long distances through turbulence modeled by sound speed fluctuations, and the equilibrium wave shape is governed by a balance between nonlinear steepening and a dissipative mechanism due to acoustic scattering of highfrequency energy out of the incident wave direction.
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