Illuminating finite-amplitude wave propagation: Hargrove’s use of recurrence relations

The Journal of the Acoustical Society of America ◽

10.1121/10.0007900 ◽

2021 ◽

Vol 150 (4) ◽

pp. A139-A139

Author(s):

Kenneth G. Foote

Keyword(s):

Wave Propagation ◽

Recurrence Relations ◽

Finite Amplitude ◽

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Experimental Study of the Interrelation between the Theory of Dislocations in Polycrystalline Media and Finite Amplitude Wave Propagation in Solids

Journal of Applied Physics ◽

10.1063/1.1728276 ◽

1961 ◽

Vol 32 (10) ◽

pp. 1982-1993 ◽

Author(s):

James F. Bell

Keyword(s):

Experimental Study ◽

Wave Propagation ◽

Finite Amplitude ◽

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A technique for predicting relaxational effects on finite-amplitude wave propagation in liquid media

Journal of Sound and Vibration ◽

10.1016/s0022-460x(70)81174-9 ◽

1970 ◽

Vol 13 (2) ◽

pp. 201-209 ◽

Author(s):

B.B. Cary ◽

F.H. Fenlon

Keyword(s):

Wave Propagation ◽

Finite Amplitude ◽

Liquid Media ◽

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Numerical simulation of finite amplitude wave propagation in air using a realistic atmospheric absorption model

The Journal of the Acoustical Society of America ◽

10.1121/1.2047109 ◽

2005 ◽

Vol 118 (5) ◽

pp. 2891-2898 ◽

Author(s):

Mark S. Wochner ◽

Anthony A. Atchley ◽

Victor W. Sparrow

Keyword(s):

Numerical Simulation ◽

Wave Propagation ◽

Finite Amplitude ◽

Absorption Model ◽

Amplitude Wave ◽

Atmospheric Absorption

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Finite‐amplitude wave propagation in big sound systems

The Journal of the Acoustical Society of America ◽

10.1121/1.420235 ◽

1997 ◽

Vol 102 (5) ◽

pp. 3079-3079

Author(s):

Gene Czerwinski ◽

Alex Voishvillo ◽

Sergei Alexandrov ◽

Alex Terekhov

Keyword(s):

Wave Propagation ◽

Finite Amplitude ◽

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Non-linear effects in finite amplitude wave propagation through orifice plate and perforated plate terminations

Journal of Sound and Vibration ◽

10.1016/0022-460x(90)90672-m ◽

1990 ◽

Vol 139 (3) ◽

pp. 383-405 ◽

Author(s):

M. Salikuddin ◽

W.H. Brown

Keyword(s):

Wave Propagation ◽

Perforated Plate ◽

Finite Amplitude ◽

Orifice Plate ◽

Amplitude Wave ◽

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Finite‐amplitude wave propagation through a two‐phase system of particles in a viscothermal fluid

The Journal of the Acoustical Society of America ◽

10.1121/1.402992 ◽

1992 ◽

Vol 91 (5) ◽

pp. 2556-2568

Author(s):

Abdelali Benharbit ◽

T. S. Margulies ◽

W. H. Schwarz

Keyword(s):

Wave Propagation ◽

Finite Amplitude ◽

Phase System ◽

Amplitude Wave ◽

Two Phase ◽

System Of Particles

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One-dimensional finite amplitude wave propagation in a compressible elastic half-space

International Journal of Solids and Structures ◽

10.1016/0020-7683(73)90086-3 ◽

1973 ◽

Vol 9 (3) ◽

pp. 363-378 ◽

Author(s):

Jacob Aboudi ◽

Yako Benveniste

Keyword(s):

Wave Propagation ◽

Finite Amplitude ◽

Elastic Half Space ◽

Amplitude Wave ◽

One Dimensional

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Finite Amplitude Wave Propagation in a Stretched Elastic String

Elastic Wave Propagation - Proceedings of the Second I.U.T.A.M. - I.U.P.A.P. Symposium on Elastic Wave Propagation, Galway, Ireland, March 20–25, 1988 - North-Holland Series in Applied Mathematics and Mechanics ◽

10.1016/b978-0-444-87272-2.50028-2 ◽

1989 ◽

pp. 161-166

Author(s):

J. Wegner ◽

J.B. Haddow ◽

R.J. Tait

Keyword(s):

Wave Propagation ◽

Finite Amplitude ◽

Amplitude Wave ◽

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On the derivation of a Lagrange‐Banta operator for progressive finite‐amplitude wave propagation in a dissipative fluid medium

The Journal of the Acoustical Society of America ◽

10.1121/1.1913580 ◽

1973 ◽

Vol 54 (1) ◽

pp. 92-95

Author(s):

Francis Hugh Fenlon

Keyword(s):

Wave Propagation ◽

Finite Amplitude ◽

Amplitude Wave ◽

Fluid Medium ◽

Dissipative Fluid

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Solitary waves in concentrated vortices

Journal of Fluid Mechanics ◽

10.1017/s0022112072001272 ◽

1972 ◽

Vol 51 (4) ◽

pp. 625-635 ◽

Author(s):

S. Leibovich ◽

J. D. Randall

Keyword(s):

Differential Equation ◽

Cauchy Problem ◽

Wave Propagation ◽

Solitary Wave ◽

Vries Equation ◽

Finite Amplitude ◽

Amplitude Wave ◽

The Cauchy Problem ◽

Wave Development ◽

Stationary Form

A nonlinear integro-differential equation governing finite amplitude wave propagation on concentrated vortices is solved numerically. The solution to the Cauchy problem shows a solitary wave development qualitatively similar to solutions of the Korteweg–de Vries equation. A perturbation solution of the stationary form of the evolution equation confirms the unsteady calculation.

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