Differential invariants for systems of linear hyperbolic equations

DOI10.1016/J.JMAA.2009.08.023zbMath1180.35339OpenAlexW2004923269MaRDI QIDQ1043922

C. Tsaousi, Christodoulos Sophocleous

Publication date: 10 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.023

zbMATH Keywords

equivalence transformationsLaplace invariantsinfinitesimal method

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06) Second-order hyperbolic systems (35L51)

Related Items (6)

Differential invariants of a generalized variable-coefficient Gardner equation ⋮ Laplace-type semi-invariants for a system of two linear hyperbolic equations by complex methods ⋮ On the invariants of two dimensional linear parabolic equations ⋮ Differential invariants of a class of Lagrangian systems with two degrees of freedom ⋮ Differential invariants for third-order evolution equations ⋮ Symmetry classification and joint invariants for the scalar linear \((1+1)\) elliptic equation

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extension of Euler's method to parabolic equations
• Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
• Differential invariants of the one-dimensional quasi-linear second-order evolution equation
• Invariants of two- and three-dimensional hyperbolic equations
• Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source
• Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\).
• Invariants of a family of nonlinear wave equations.
• Laplace type invariants for parabolic equations
• On linearization of hyperbolic equations using differential invariants
• Singular invariant equation for the (1+1) Fokker–Planck equation
• New results on group classification of nonlinear diffusion–convection equations
• Invariants of a family of third-order ordinary differential equations
• On form-preserving point transformations of partial differential equations
• Basis of Joint Invariants for (1 + 1) Linear Hyperbolic Equations
• Complete Invariant Characterization of Scalar Linear (1+1) Parabolic Equations
• Second-order differential invariants of a family of diffusion equations

This page was built for publication: Differential invariants for systems of linear hyperbolic equations