Noetherian integrals via nonlocal transformation

DOI10.1016/0375-9601(95)00230-ZzbMath1020.70504OpenAlexW2002804841MaRDI QIDQ1965550

Keshlan S. Govinder, Peter G. L. Leach

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00230-z

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (9)

Hidden Symmetries, First Integralsvand Reduction of Order of Nonlinear Ordinary Differential Equations ⋮ Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation ⋮ Integration of second order ordinary differential equations not possessing Lie point symmetries ⋮ Approximate Noether symmetries ⋮ Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry ⋮ Unnamed Item ⋮ Revisiting Noether's Theorem on constants of motion ⋮ Algebraic properties of first integrals for systems of second-order ordinary differential equations of maximal symmetry ⋮ Symmetries of first integrals and their associated differential equations

Cites Work

• Integration of second order ordinary differential equations not possessing Lie point symmetries
• Comment: Comment on a paper concerning symmetries of equations of motion and equivalent Lagrangians
• An example of a general class of symmetries of Lagrangians and their equations of motion
• Berry's phase and wavefunctions for time-dependent Hamilton systems
• Generalizations of Noether’s Theorem in Classical Mechanics
• Hidden symmetries associated with the projective group of nonlinear first-order ordinary differential equations
• A group theoretic approach to a class of second-order ordinary differential equations not possessing Lie point symmetries
• Hidden symmetries and linearization of the modified Painlevé–Ince equation
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