Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time
From MaRDI portal
Publication:3492449
DOI10.1063/1.528789zbMath0709.58032OpenAlexW2067119565MaRDI QIDQ3492449
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528789
Lie groupconformal groupPoincaré groupsimilitude groupinvariant equationsrealization of Lie algebras
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (9)
New scale-invariant nonlinear differential equations for a complex scalar field ⋮ On differential equations characterized by their Lie point symmetries ⋮ On covariant realizations of the Poincaré group \(P(1,3)\) ⋮ \((3+1)\)-dimensional models with an infinitely dimensional Virasoro type symmetry algebra ⋮ Realizations of the Poincaré algebra and Poincaré-invariant equations in three-dimensional space-time ⋮ Ordinary differential equations described by their Lie symmetry algebra ⋮ Evolution equations invariant under two-dimensional space–time Schrödinger group ⋮ On new relativistically invariant nonlinear equations in two-dimensional space-time ⋮ On the relation between weak and strong invariance of differential equations
Cites Work
- An analytic nonlinear representation of the Poincaré group. II: The case of helicities \(\pm\)
- Nontrivial extensions of a massless representation with definite helicity of the Poincaré group in \(3+1\) dimensions by the tensor product of two other massless representations with definite helicity
- Formal linearization of nonlinear massive representations of the connected Poincaré group
- Lie symmetries of a generalised non-linear Schrodinger equation. III. Reductions to third-order ordinary differential equations
- Symmetry reduction for nonlinear relativistically invariant equations
- Exact solutions of the multidimensional classical φ6-field equations obtained by symmetry reduction
- Subgroups of the Poincaré group and their invariants
- Group Theoretical Discussion of Relativistic Wave Equations
This page was built for publication: Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time
