Lie remarkable partial differential equations characterized by Lie algebras of point symmetries
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.06.011
Abstract: Abstract Within the framework of inverse Lie problem, we give some non-trivial examples of coupled Lie remarkable equations, i.e., classes of differential equations that are in correspondence with their Lie point symmetries. In particular, we… read more here.
Keywords: partial differential; remarkable partial; point symmetries; lie remarkable ... See more keywords
On Lie-point symmetries for Ito stochastic differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2017.1418056
Abstract: In the deterministic realm, both differential equations and symmetry generators are geometrical objects, and behave properly under changes of coordinates; actually this property is essential to make symmetry analysis independent of the choice of coordinates… read more here.
Keywords: ito stochastic; point symmetries; stochastic differential; symmetries ito ... See more keywords
Variational principles for ideal MHD of steady incompressible flows via Lie-point symmetries with application to the magnetic structures of bipolar sunspots
Sign Up to like & getrecommendations! Published in 2020 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-020-00598-z
Abstract: In this paper, Lie-point symmetries and conservation laws for the generalized Grad–Shafranov equation (GGSE) for symmetric magnetohydrodynamic (MHD) fluids with steady, inhomogeneous, incompressible flows are derived. The adjointness of that equation is discussed via a… read more here.
Keywords: variational principles; via lie; incompressible flows; point symmetries ... See more keywords
Potentials and point symmetries of Klein–Gordon equations in space-time homogenous Gödel-type metrics
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887817500700
Abstract: In this paper, we study the geometric properties of generators for the Klein–Gordon equation on classes of space-time homogeneous Godel-type metrics. Our analysis complements the study involving the “Symmetries of geodesic motion in Godel-type spacetimes”… read more here.
Keywords: space time; point symmetries; klein gordon; type ... See more keywords