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Stationary wave beams in a strongly nonlinear three-dimensional inhomogeneous medium. (Russian. English summary) Zbl 0627.76095

Asymptotics of stationary beams evolution in strongly nonlinear three- dimensional medium is obtained. Formulas for amplitude distribution, phase velocity and effectively solvable equations for axial line of the beam are found. It is proved that problems of determination of axial line and wave field, concentrated in a vicinity of this line are separated when the nonlinearity has degree form.

MSC:

76Q05 Hydro- and aero-acoustics
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