Geodesic
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

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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. 
@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},
     publisher = {mathdoc},
     volume = {148},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_148_a5/}
}
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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/