Renormalization group symmetries in problems of nonlinear geometric optics

DOI10.1007/BF02634057zbMath0978.78500OpenAlexW1997000947MaRDI QIDQ1294869

Vladimir F. Kovalev

Publication date: 6 February 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02634057

zbMATH Keywords

boundary value problemlaser beamnonlinear mediumexact and approximate analytic solutionsstrong radiation

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Physical optics (78A10) Geometric optics (78A05)

Related Items (4)

Light propagation in media with a highly nonlinear response: an analytical study ⋮ Exact and approximate symmetries for light propagation equations with higher order nonlinearity ⋮ Functional self-similarity and renormalization group symmetry in mathematical physics ⋮ Renormalization group analysis for singularities in the wave beam self-focusing problem

Uses Software

• DIMSYM

Cites Work

• Perturbation methods in group analysis
• Group and renormgroup symmetry of a simple model for nonlinear phenomena in optics, gas dynamics, and plasma theory
• Group analysis and renormgroup symmetries
• RENORMALIZATION GROUP SYMMETRY AND SOPHUS LIE GROUP ANALYSIS
• Group and Renormgroup Symmetry of Quasi-Chaplygin Media
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