Classification of first-order Lagrangians on the line

DOI10.1007/BF00673841zbMath0841.70013OpenAlexW2048981365MaRDI QIDQ1909297

F. M. Mahomed, Abdul Hamid Kara

Publication date: 12 March 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00673841

zbMATH Keywords

canonical formsNoether point symmetry algebra

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

Related Items (1)

Lie symmetries for systems of evolution equations

Cites Work

• Equivalence problems for first order Lagrangians on the line
• Lie and Noether counting theorems for one-dimensional systems
• Noether equivalence problem for particle Lagrangians
• Generalizations of Noether’s Theorem in Classical Mechanics
• CANONICAL FORMS FOR PARTICLE LAGRANGIANS OF THE LINEAR SECOND-ORDER EQUATION
• THE LIE ALGEBRA sl(3, R) AND LINEARIZATION
• Lie algebras associated with scalar second-order ordinary differential equations

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