Abstract <p>A nonlinear equation is obtained for the dynamics of a hyperelastic rod, the deformation of the material thereof is described by a neo-Hookean potential. The following quasi-harmonic processes are studied: the generation of a longitudinal double-frequency wave, the formation of a wave package with its amplitude envelope having the properties of a soliton.</p>

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Quasi-Harmonic Longitudinal Wave Propagating in a Rod, the Deformation of the Material Thereof is Described by Neo-Hookean Potential

  • V. I. Erofeev,
  • D. A. Butygin

摘要

Abstract

A nonlinear equation is obtained for the dynamics of a hyperelastic rod, the deformation of the material thereof is described by a neo-Hookean potential. The following quasi-harmonic processes are studied: the generation of a longitudinal double-frequency wave, the formation of a wave package with its amplitude envelope having the properties of a soliton.