Vakulenko, S. A.; Molotkov, I. A. Stationary wave beams in a strongly nonlinear three-dimensional inhomogeneous medium. (Russian. English summary) Zbl 0627.76095 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 148, 52-60 (1985). 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. Cited in 1 ReviewCited in 6 Documents MSC: 76Q05 Hydro- and aero-acoustics Keywords:Asymptotics of stationary beams evolution; strongly nonlinear three- dimensional medium; amplitude distribution; phase velocity; determination of axial line; wave field PDFBibTeX XMLCite \textit{S. A. Vakulenko} and \textit{I. A. Molotkov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 148, 52--60 (1985; Zbl 0627.76095) Full Text: EuDML