On the interaction of counterpropagating acoustic waves in resonant rods composed of materials with hysteretic quadratic nonlinearity.
An ordinary inhomogeneous integrodifferential equation for the profile of the acoustic wave in a resonant rod, composed of a material with hysteretic quadratic nonlinearity, is derived. It explicitly takes into account the interaction of the counterpropagating acoustic waves. It also incorporates the boundary conditions in the sense that all possible solutions of the equation satisfy the appropriate boundary conditions at the ends of the rod.
Gusev
Vitalyi
V
Université du Maine, 72085 Le Mans, Cedex 09, France. vitali.goussev@univ-lemans.fr