scientific article

zbMath0531.35003MaRDI QIDQ3312581

W. I. Fushchich, Anatolia G. Nikitin

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

symmetrybibliographyMaxwell equationsconformal invarianceDirac equationsconformal groupalgebras of invariantsmassless fieldLorentz groupGalilei groupPoincaré algebrarelativistic invarianceelectromagnetic field equationsmotion integralsKämmer-Deffin-Petier equationsnon-geometrical symmetry

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Electromagnetic fields in general relativity and gravitational theory (83C50) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (13)

Symmetry and exact solutions of multidimensional nonlinear wave equations ⋮ Reductions and exact solutions of a nonlinear Dirac equation ⋮ Identities on solutions of the wave equation in the enveloping algebra of the conformal group ⋮ Hidden symmetries of the two-particle Dirac equation with linear interaction ⋮ Majorana-Oppenheimer approach to Maxwell electrodynamics. I: Minkowski space ⋮ Symmetry algebras of linear differential equations ⋮ On some exact solutions of the nonlinear Dirac equation ⋮ Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws ⋮ Analogues of generalized hydrodynamic potentials in the theory of Lamé and Maxwell equations ⋮ Nonlocal ansätze, reduction and some exact solutions for the system of the van der Waals equations ⋮ Local symmetries of massless wave equations ⋮ Nonlocal transformations with additional variables. Forced symmetries ⋮ Seiberg-Witten equations in R4: Lie symmetries, particular solutions, integrability

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