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This article is cited in 10 scientific papers (total in 10 papers)
Renormgroup symmetries in problems of nonlinear geometrical optics
V. F. Kovalev Institute for Mathematical Modelling, Russian Academy of Sciences
Abstract:
Renormgroup symmetries for a boundary value problem for the system of equations which describes propagation of a powerful radiation in a nonlinear medium in geometrical optics
approximation are constructed. With the help of renormgroup symmetries new exact and approximate analytical solutions of nonlinear geometrical optics equations are obtained. Explicit analytical expressions are presented that characterize spatial evolution of a laser beam which has an arbitrary intensity dependence at the boundary of the nonlinear medium.
Received: 06.02.1997
Citation:
V. F. Kovalev, “Renormgroup symmetries in problems of nonlinear geometrical optics”, TMF, 111:3 (1997), 369–388; Theoret. and Math. Phys., 111:3 (1997), 686–702
Linking options:
https://www.mathnet.ru/eng/tmf1015https://doi.org/10.4213/tmf1015 https://www.mathnet.ru/eng/tmf/v111/i3/p369
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Abstract page: | 353 | Full-text PDF : | 186 | References: | 39 | First page: | 1 |
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