Some invariant solutions of field equations with axial symmetry for empty space containing an electrostatic field

DOI10.1016/j.amc.2013.12.120zbMath1410.35228OpenAlexW2093183570MaRDI QIDQ1644571

Lakhveer Kaur, R. K. Gupta

Publication date: 21 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.120

zbMATH Keywords

exact solutionsgeneral relativitysymmetry analysiselectrostatic field

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic fields in general relativity and gravitational theory (83C50) Electro- and magnetostatics (78A30)

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Cites Work

• Exact solutions of the \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
• Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis
• Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations
• Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations
• Painlevé analysis, Lie symmetries and invariant solutions of potential Kadomstev-Petviashvili equation with time dependent coefficients
• Exact Solutions of Einstein's Field Equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion method
• Symmetries and differential equations
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