Explicit method of numerical solution of a problem of light wave propagation in nonlinear media
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 743-748
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A method for the numerical solution of problems of the propagation of axially-symmetric beams in media with a positive cubic non-linearity in the framework of a parabolic equation is discussed. For such problems it is established by a numerical experiment that only the use of a moving Lagrangian mesh leads to the stability of explicit methods of numerical solution. The influence of the boundary conditions on the solution of such problems is examined. The scheme proposed can be used for multidimensional problems.
@article{ZVMMF_1983_23_3_a23,
author = {A. G. Vasil'kov and Yu. K. Danileiko and T. P. Lebedeva and M. F. Romanov},
title = {Explicit method of numerical solution of a problem of light wave propagation in nonlinear media},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {743--748},
publisher = {mathdoc},
volume = {23},
number = {3},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a23/}
}
TY - JOUR AU - A. G. Vasil'kov AU - Yu. K. Danileiko AU - T. P. Lebedeva AU - M. F. Romanov TI - Explicit method of numerical solution of a problem of light wave propagation in nonlinear media JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 743 EP - 748 VL - 23 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a23/ LA - ru ID - ZVMMF_1983_23_3_a23 ER -
%0 Journal Article %A A. G. Vasil'kov %A Yu. K. Danileiko %A T. P. Lebedeva %A M. F. Romanov %T Explicit method of numerical solution of a problem of light wave propagation in nonlinear media %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1983 %P 743-748 %V 23 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a23/ %G ru %F ZVMMF_1983_23_3_a23
A. G. Vasil'kov; Yu. K. Danileiko; T. P. Lebedeva; M. F. Romanov. Explicit method of numerical solution of a problem of light wave propagation in nonlinear media. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 743-748. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a23/