A time‐domain computer algorithm that solves an augmented Burgers equation is
described. The algorithm is a modification of the time‐domain code developed by Lee and
Hamilton [J. Acoust. Soc. Am. 97, 906–917 (1995)] for pulsed finite‐amplitude sound beams
in homogeneous, thermoviscous fluids. In the present paper, effects of nonlinearity,
absorption and dispersion (both thermoviscous and relaxational), geometrical spreading,
and inhomogeneity of the medium are taken into account. The novel feature of the code is …

Two similar time‐domain computer algorithms are described, one that solves an augmented
Burgers equation and the other an augmented KZK equation. Both codes include the effects
of nonlinearity, absorption, and dispersion (both thermoviscous and relaxational). The
Burgers code also accounts for geometrical spreading and inhomogeneity of the medium.
The KZK code accounts for diffraction in directive sound beams [Lee and Hamilton, J.
Acoust. Soc. Am. 97, 906–917 (1995)]. The novel feature of the codes is that they run …