Reducing systems of linear differential equations to a passive form

DOI10.1007/BF00046572zbMath0703.35005OpenAlexW4240961218MaRDI QIDQ915949

V. L. Topunov

Publication date: 1989

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046572

zbMATH Keywords

algorithmscomputer algebraREFAL

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) General first-order partial differential equations and systems of first-order partial differential equations (35F99)

Related Items (17)

Symmetry reductions and exact solutions of a class of nonlinear heat equations ⋮ Symmetry reductions and exact solutions of shallow water wave equations ⋮ Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution ⋮ Finding abstract Lie symmetry algebras of differential equations without integrating determining equations ⋮ Involution analysis for nonlinear exterior differential systems ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Group and renormgroup symmetry of a simple model for nonlinear phenomena in optics, gas dynamics, and plasma theory ⋮ Computation of local symmetries of second-order ordinary differential equations by the Cartan equivalence method ⋮ Reduction of systems of nonlinear partial differential equations to simplified involutive forms ⋮ Term-ordering free involutive bases ⋮ Symmetries and exact solutions for a \(2+1\)-dimensional shallow water wave equation ⋮ Symmetry and explicit solutions of partial differential equations ⋮ An algorithm for the complete symmetry classification of differential equations based on Wu's method ⋮ Involutive directions and new involutive divisions ⋮ Applications of differential form Wu's method to determine symmetries of (partial) differential equations ⋮ Nonclassical symmetry reductions of the Boussinesq equation ⋮ Use and construction of potential symmetries

Cites Work

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• Automatically determining symmetries of partial differential equations
• Symbolic computations in applied differential geometry
• Computations in differential and difference modules

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