Jacobi Last Multiplier and Lie Symmetries: A Novel Application of an Old Relationship

From MaRDI portal
Publication:5314504

DOI10.2991/jnmp.2005.12.2.9zbMath1080.34003OpenAlexW2130576454MaRDI QIDQ5314504

Maria Clara Nucci

Publication date: 5 September 2005

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

Full work available at URL: https://doi.org/10.2991/jnmp.2005.12.2.9




Related Items

On group analysis of optimal control problems in economic growth modelsLagrangians for Dissipative Nonlinear Oscillators: The Method of Jacobi Last MultiplierFuchs’ solution of Painlevé VI equation by means of Jacobi’s last multiplierSuperintegrable cases of four-dimensional dynamical systemsGeneralized conformal Hamiltonian dynamics and the pattern formation equationsOn the inverse problem of the discrete calculus of variationsThe inverse problem of a mixed Liénard-type nonlinear oscillator equation from symmetry perspectiveSymmetries and reductions of order for certain nonlinear third- and second-order differential equations with arbitrary nonlinearityAn Old Method of Jacobi to Find LagrangiansA partial Lagrangian approach to mathematical models of epidemiology\(\lambda\)-symmetries for the reduction of continuous and discrete equationsDealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: the \(S\)-function methodAnalytical approaches for growth models in economicsMany conserved quantities induced by Lie symmetries of a Lagrangian systemOn the interconnections between various analytic approaches in coupled first-order nonlinear differential equationsQuantization of quadratic Liénard-type equations by preserving Noether symmetriesJacobi's last multiplier, Lie symmetries, and hidden linearity: ``goldfishes galoreLagrangians galoreThe Quantization of a Fourth-Order Equation without a Second-Order LagrangianLie symmetries for Lie systems: applications to systems of ODEs and PDEsOn time-dependent Hamiltonian realizations of planar and nonplanar systemsLast multipliers for Riemannian geometries, Dirichlet forms and Markov diffusion semigroupsDamped equations of Mathieu typeRegular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approachesLast multipliers on Lie algebroidsSingularity Analysis and Integrability of a Simplified Multistrain Model for the Transmission of Tuberculosis and Dengue FeverLie symmetries of a Painleve-type equation without Lie symmetriesSymbolic Computation Algorithms for Second-Order ODEs by Using Two λ-SymmetriesGroup Analysis and Heir-Equations for Thin Liquid FilmsInterplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equationsHolomorphic last multipliers on complex manifoldsFirst integrals and exact solutions of the SIRI and tuberculosis modelsSeeking (and finding) LagrangiansThe Group-Theoretical Analysis of Nonlinear Optimal Control Problems with Hamiltonian FormalismJacobi’s last multiplier and Lagrangians for multidimensional systems


Uses Software


Cites Work