Invariance analysis and variational conservation laws for the wave equation on some manifolds

DOI10.1007/s10773-009-9964-6zbMath1174.83001OpenAlexW2040506100MaRDI QIDQ842597

Munawar Karim, Abdul Hamid Kara, Fiazud Din Zaman, Ashfaque H. Bokhari

Publication date: 25 September 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-9964-6

zbMATH Keywords

conservation lawssymmetries

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Gravitational waves (83C35)

Related Items (6)

Invariant solutions for a class of perturbed nonlinear wave equations ⋮ Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces ⋮ The reduction of the Laplace equation in certain Riemannian spaces and the resulting type II hidden symmetries ⋮ New exact solutions and conservation laws of a class of Kuramoto Sivashinsky (KS) equations ⋮ Conservation laws and nonlocally related systems of the Hunter-Saxton equation for liquid crystal ⋮ Wave equation on spherically symmetric Lorentzian metrics

Uses Software

• LIEPDE
• ApplySym
• ConLaw

Cites Work

• Relationship between symmetries and conservation laws
• Exact Solutions of Einstein's Field Equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetries and differential equations
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