Group and renormgroup symmetry of a simple model for nonlinear phenomena in optics, gas dynamics, and plasma theory

DOI10.1016/S0895-7177(97)00067-8zbMath0883.76002OpenAlexW2063332726MaRDI QIDQ1368555

V. V. Pustovalov, Vladimir F. Kovalev

Publication date: 23 March 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00067-8

zbMATH Keywords

boundary value probleminvariant solutionshodograph variablesLie-Bäcklund symmetriescomputer algebra system REDUCEpackage DIMSYMquasi-Chaplygin system

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gas dynamics (general theory) (76N15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Physical optics (78A10)

Related Items (4)

Invariant solutions and shock atmospheric waves in a thin circular layer ⋮ Exact and approximate symmetries for light propagation equations with higher order nonlinearity ⋮ Functional self-similarity and renormalization group symmetry in mathematical physics ⋮ Renormalization group symmetries in problems of nonlinear geometric optics

Uses Software

• REDUCE
• DIMSYM
• SPDE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automatically determining symmetries of partial differential equations
• Reducing systems of linear differential equations to a passive form
• Finding abstract Lie symmetry algebras of differential equations without integrating determining equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• The Bogolyubov renormalization group

This page was built for publication: Group and renormgroup symmetry of a simple model for nonlinear phenomena in optics, gas dynamics, and plasma theory