Group classification of eikonal equations for the wave equation in inhomogeneous media

DOI10.1007/S10958-005-0291-ZzbMath1085.35011OpenAlexW2170882589MaRDI QIDQ812285

A. V. Borovskikh

Publication date: 23 January 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0291-z

zbMATH Keywords

eikonal equationseikonals of point sourcesLie-Ovsyannikov group classificationwave equation in inhomogeneous media

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Wave equation (35L05) Nonlinear first-order PDEs (35F20) Hydro- and aero-acoustics (76Q05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Waves and radiation in optics and electromagnetic theory (78A40) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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