Two-dimensional systems that arise from the Noether classification of Lagrangians on the line

A new conservation theorem

Nail H. Ibragimov · Journal of Mathematical Analysis and Applications · 2006 · 927 citations

Architecture, Evolutionary Biology, Conservation Theory +4

Solution of the inverse problem of the calculus of variations

Jesse Douglas · Transactions of the American Mathematical Society · 1941 · 314 citations · Full text

Natural Resources, Natural Resource Economics, Water Resources Management +17

Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians

A. H. Kara, F. M. Mahomed · Nonlinear Dynamics · 2006 · 252 citations

Natural Sciences, Mathematics, Physics +13

The inverse problem of the calculus of variations for ordinary differential equations

Ian Anderson, Gerard Thompson · Memoirs of the American Mathematical Society · 1992 · 117 citations

Natural Sciences, Mathematics, Differential Equations +10

Symmetry group classification of ordinary differential equations: Survey of some results

F. M. Mahomed · Mathematical Methods in the Applied Sciences · 2007 · 114 citations · Full text

Natural Sciences, Mathematics, Differential Equations +11