The complete Kepler group can be derived by Lie group analysis

From MaRDI portal
Publication:5284445

DOI10.1063/1.531496zbMath0866.70006OpenAlexW2093879166WikidataQ115329279 ScholiaQ115329279MaRDI QIDQ5284445

Maria Clara Nucci

Publication date: 22 January 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531496



Related Items

Minimally superintegrable systems in flat three-dimensional space are also linearizable, On solitons and invariant solutions of the Magneto-electro-elastic circular rod, An illustrative application of the Lie symmetries in the context of first-order mechanical systems: Hathaway's circular pursuit problem, A geometric approach for solving the density-dependent diffusion Nagumo equation, Let's Lie: A miraculous haul of fishes, Some new aspects of first integrals and symmetries for central force dynamics, Lie point symmetries and first integrals: The Kowalevski top, Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator, Hidden linearity in systems for competition with evolution in ecology and finance, The Economy of Complete Symmetry Groups for Linear Higher Dimensional Systems, Symmetries and Integrating Factors, Jacobi's Last Multiplier and the Complete Symmetry Group of the EulerPoinsot System, Energy translation symmetries and dynamics of separable autonomous two-dimensional ODEs, Linearity of minimally superintegrable systems in a static electromagnetic field, Are all classical superintegrable systems in two-dimensional space linearizable?, Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation., Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation, An integrable SIS model., Jacobi's last multiplier, Lie symmetries, and hidden linearity: ``goldfishes galore, The Quantization of a Fourth-Order Equation without a Second-Order Lagrangian, Maximally superintegrable systems in flat three-dimensional space are linearizable, Solitary wave solutions of time-space nonlinear fractional Schrödinger's equation: two analytical approaches, Singularity analysis in nonlinear biomathematical models: two case studies, Undefined Jacobi last multiplier? Complete symmetry group!, Symmetry, Singularities and Integrability in Complex Dynamics V: Complete Symmetry Groups of Certain Relativistic Spherically Symmetric Systems, The method of Ostrogradsky, quantization, and a move toward a ghost-free future, Generalised Symmetries and the Ermakov-Lewis Invariant, Lie remarkable partial differential equations characterized by Lie algebras of point symmetries, Complete symmetry groups of ordinary differential equations and their integrals: Some basic considerations, Group analysis and exact solutions of the time fractional Fokker-Planck equation, A multiple scales approach to maximal superintegrability, Ubiquitous symmetries, Ordinary differential equations described by their Lie symmetry algebra, Lie symmetries of a Painleve-type equation without Lie symmetries, Generalisations of the LaplaceRungeLenz Vector, Group Analysis and Heir-Equations for Thin Liquid Films, Lie group analysis for initial and boundary value problem of time-fractional nonlinear generalized KdV partial differential equation, The nonlinear pendulum always oscillates, Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity, The determination of nonlocal symmetries by the technique of reduction of order, Application of Lie group analysis to a core group model for sexually transmitted diseases, Analytic Behaviour of Competition among Three Species


Uses Software


Cites Work