Geodesic
A method for solving the problem of nonlinear optical self-focusing in an infinite half-space
Numerical methods and programming, Tome 9 (2008) no. 1, pp. 77-83.

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A numerical method for solving the problem of nonlinear optical self-focusing in an infinite half-space is proposed. Some numerical results obtained for the propagation of light beams in a linear medium and in a medium with the Kerr-type nonlinearity and with the three-photon absorption are discussed. These numerical results are compared with the results obtained by a previously proposed method for a domain bounded along the transverse coordinate. The work was supported by the Russian Foundation for Basic Research (project No. 08-01-00285).
Keywords: nonlinear oscillations, optical self-focusing, light beams, three-photon light absorption, Kerr-type non-linearity. 
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     author = {A. N. Demidova and Ya. M. Zhileikin},
     title = {A method for solving the problem of nonlinear optical self-focusing in an infinite half-space},
     journal = {Numerical methods and programming},
     pages = {77--83},
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     url = {http://geodesic.mathdoc.fr/item/VMP_2008_9_1_a9/}
}
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A. N. Demidova; Ya. M. Zhileikin. A method for solving the problem of nonlinear optical self-focusing in an infinite half-space. Numerical methods and programming, Tome 9 (2008) no. 1, pp. 77-83. http://geodesic.mathdoc.fr/item/VMP_2008_9_1_a9/