Geodesic
Variational principles for differential equations with symmetries and conservation laws. I. Second order scalar equations.
Mathematische Annalen, Tome 299 (1994) no. 4, pp. 191-222.

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Mots-clés : Gelfand-Dickey transform, conservation laws, inverse problem, symmetries of a variational problem, Euler-Lagrange equations, second order scalar differential equations 
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     author = {Ian M. Anderson and Juha Pohjanpelto},
     title = {Variational principles for differential equations with symmetries and conservation laws. {I.} {Second} order scalar equations.},
     journal = {Mathematische Annalen},
     pages = {191--222},
     publisher = {mathdoc},
     volume = {299},
     number = {4},
     year = {1994},
     zbl = {0804.49030},
     url = {http://geodesic.mathdoc.fr/item/MAN_1994__299_4_165205/}
}
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Ian M. Anderson; Juha Pohjanpelto. Variational principles for differential equations with symmetries and conservation laws. I. Second order scalar equations.. Mathematische Annalen, Tome 299 (1994) no. 4, pp. 191-222. http://geodesic.mathdoc.fr/item/MAN_1994__299_4_165205/