Geodesic
Aspects of proper differential sequences of ordinary differential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 64-80

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We define a proper differential sequence of ordinary differential equations and introduce a method for deriving an alternate sequence of integrals for such a sequence. We describe some general properties, illustrated by several examples.
Keywords: sequence of ordinary differential equations, recursion operator, symmetry analysis of ordinary differential equations, integrable ordinary differential equation. 
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     title = {Aspects of proper differential sequences of ordinary differential equations},
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N. Euler; P. G. L. Leach. Aspects of proper differential sequences of ordinary differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 64-80. http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a3/