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Author Nakamura, Akira
Source J-STAGE
Content type Text
Publisher Acoustical Society of Japan
Language English
Subject Keyword Hyperbolic soliton ♦ K-dV equation ♦ Finite amplitude effect ♦ Velocity dispersion effect ♦ Nonlinear distortion
Abstract Formation process of an ideal soliton is discussed by using valid computer modeling for simulation. A solito a is formed under the condition of balance between nonlinear distortion due to finite amplitude effect and deformation caused by velocity dispersion effect. A model used in this paper is propagation in a thin fiber of fused silica and the velocity dispersion is given by Pochhammer solution. The simulation is done by intro ducingalternately finite amplitude effect and dispersion effect, without linear absorption. Results obtained are as follows:(1) A hyperbolic pulse makes its waveform change until it satisfies stable condition of soliton which is expressed by the relation between the pulse widthand the peak pressure, given by solution of K-dV equation and (2) after the pulse achieved the stable condition, it is not changed the waveform anymore and can propa gatewith the same waveform without attenuation of peak pressure.
ISSN 03882861
Learning Resource Type Article
Publisher Date 1991-01-01
e-ISSN 21853509
Journal Journal of the Acoustical Society of Japan (E)(ast1980)
Volume Number 12
Issue Number 3
Page Count 7
Starting Page 107
Ending Page 113


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