Invariants of two- and three-dimensional hyperbolic equations

DOI10.1016/J.JMAA.2008.09.004zbMath1153.35008OpenAlexW2073810116MaRDI QIDQ953516

C. Tsaousi, Rita Tracinà, Christodoulos Sophocleous

Publication date: 6 November 2008

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.2008.09.004

zbMATH Keywords

hyperbolic equationdifferential invariantLie symmetryequivalence transformation

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Second-order hyperbolic equations (35L10)

Related Items (6)

A Galerkin-like scheme to solve two-dimensional telegraph equation using collocation points in initial and boundary conditions ⋮ A Haar wavelet collocation approach for solving one and two‐dimensional second‐order linear and nonlinear hyperbolic telegraph equations ⋮ On the invariants of two dimensional linear parabolic equations ⋮ Differential invariants for third-order evolution equations ⋮ Differential invariants for systems of linear hyperbolic equations ⋮ A collocation approach for solving two-dimensional second-order linear hyperbolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linearization of third-order ordinary differential equations by point and contact transformations
• 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
• Some extensions of the Clarke and Wright method
• 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
• Invariants of a remarkable family of nonlinear equations
• On linearization of hyperbolic equations using differential invariants
• Singular invariant equation for the (1+1) Fokker–Planck equation
• Exactly integrable hyperbolic equations of Liouville type
• New results on group classification of nonlinear diffusion–convection equations
• On form-preserving point transformations of partial differential equations
• Second-order differential invariants of a family of diffusion equations

This page was built for publication: Invariants of two- and three-dimensional hyperbolic equations