Point equivalence of second-order ODEs: Maximal invariant classification order
نویسندگان
چکیده
منابع مشابه
Point equivalence of second-order ODEs: Maximal invariant classification order
We show that the local equivalence problem of second-order ordinary differential equations under point transformations is completely characterized by differential invariants of order at most 10 and that this upper bound is sharp. We also demonstrate that, modulo Cartan duality and point transformations, the Painlevé–I equation can be characterized as the simplest second-order ordinary different...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2015
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2014.08.003