Propagation of acoustic unipolar pulses and periodic waves in media with quadratic hysteretic nonlinearity and linear viscous dissipation

Results of theoretical study and numeric simulation of propagation of plane acoustic unipolar pulses and periodic waves in media with quadratic hysteretic nonlinearity and linear viscous dissipation are presented. The exact analytical solution is derived for self-similar pulses. Numerical simulation of propagation of initially triangular pulses and harmonic waves was carried out using spectral method. Agreement between analytical and numeric calculations is discussed.