Nonlinear behavior of sound and its application to soliton formation

Abstract

Nonlinear propagation in a thin fiber of fused silica is analyzed. In this case the waveform of finite amplitude sound is affected by both velocity dispersion and nonlinear distortion. A soliton is formed under the condition of balance between nonlinear distortion and change of waveform due to velocity dispersion. The soliton formation process is investigated by computer simulation, applied to both hyperbolic and sinusoidal waveforms. The characteristics of sinusoidal and hyperbolic soliton formation are compared.<>