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- W2044883340 abstract "Abstract We introduce a new local transformation that connects certain hierarchies of ODEs with the Riccati chain. Such transformation is derived from the existence of a common λ -symmetry for all the equations of any of the studied chains. We provide a unified procedure to derive the solutions of all the equations of a given chain in terms of the solutions of the higher Riccati equations. The higher Abel equations are solved by applying this method. Some features on Jacobi last multipliers and nonlocal symmetries for some specific chains are also established." @default.
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- W2044883340 date "2014-04-01" @default.
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- W2044883340 title "-symmetries of some chains of ordinary differential equations" @default.
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- W2044883340 doi "https://doi.org/10.1016/j.nonrwa.2013.09.018" @default.
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