Renormalization group analysis for singularities in the wave beam self-focusing problem

DOI10.1007/BF02557382zbMath0995.78034OpenAlexW2029339954MaRDI QIDQ1567912

Vladimir F. Kovalev

Publication date: 26 June 2000

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

Full work available at URL: https://doi.org/10.1007/bf02557382

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Renormalization group methods in equilibrium statistical mechanics (82B28) Lasers, masers, optical bistability, nonlinear optics (78A60)

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Derivation of asymptotic dynamical systems with partial Lie symmetry groups, Light propagation in media with a highly nonlinear response: an analytical study, Functional self-similarity and renormalization group symmetry in mathematical physics, The Bogoliubov renormalization group and solution symmetry in mathematical physics

Cites Work

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• Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equations
• Group analysis and renormgroup symmetries
• Group and Renormgroup Symmetry of Quasi-Chaplygin Media