Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 52-60
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S. A. Vakulenko; I. A. Molotkov. Stationary wave baems in strongly nonlinear three-dimensional and inhomogeneous medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 15, Tome 148 (1985), pp. 52-60. http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a5/
@article{ZNSL_1985_148_a5,
author = {S. A. Vakulenko and I. A. Molotkov},
title = {Stationary wave baems in strongly nonlinear three-dimensional and inhomogeneous medium},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {52--60},
year = {1985},
volume = {148},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a5/}
}
TY - JOUR
AU - S. A. Vakulenko
AU - I. A. Molotkov
TI - Stationary wave baems in strongly nonlinear three-dimensional and inhomogeneous medium
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 52
EP - 60
VL - 148
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a5/
LA - ru
ID - ZNSL_1985_148_a5
ER -
%0 Journal Article
%A S. A. Vakulenko
%A I. A. Molotkov
%T Stationary wave baems in strongly nonlinear three-dimensional and inhomogeneous medium
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 52-60
%V 148
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a5/
%G ru
%F ZNSL_1985_148_a5
Asymptotics of stationary beams evolution in strongly nonlinear three-dimensional medium is obtained. Formulas for amplitude distribution, phase velocity and effeotivly 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.
