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arXiv · 1210.3647

A generalization of \lambda-symmetry reduction for systems of ODEs: \sigma-symmetries

Giampaolo Cicogna·Giuseppe Gaeta·Sebastian Walcher
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Abstract

We consider a deformation of the prolongation operation, defined on sets of vector fields and involving a mutual interaction in the definition of prolonged ones. This maintains the "invariants by differentiation" property, and can hence be used to reduce ODEs satisfying suitable invariance conditions in a fully algorithmic way, similarly to what happens for standard prolongations and symmetries.

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Giampaolo Cicogna, Giuseppe Gaeta, Sebastian Walcher. 2012-10-12. A generalization of \lambda-symmetry reduction for systems of ODEs: \sigma-symmetries. https://doi.org/10.1088/1751-8113%2F45%2F35%2F355205

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