|START||NEW VOL 20||SEARCH||STATISTICS||PAS - GDANSK DIVISION|
pp. 75-78, vol. 1, 1997
B. O. Enflo
Department of Mechanics, Kungl. Tekniska Högskolan, Stockholm, Sweden
Abstract: The beam equation for a sound beam in a diffusive medium, called the KZK (Khokhlov-Zabolotskaya-Kuznetsov) equation, has a class of solutions, which are power series in the transverse variable with the terms given by a solution of a generalized Burgers' equation. A free parameter in this generalized Burgers' equation can be chosen so that the equation describes an N-wave which does not decay. If the beam source has the form of a spherical cap, then a beam with a preserved shock can be prepared. This is done by satisfying an inequality containing the spherical radius, the N-wave pulse duration, the N-wave pulse amplitude and the sound velocity in the fluid.
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