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arXiv · 0909.0113

Weierstrass integrability of differential equations

Jaume Giné·Maite Grau
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Abstract

The integrability problem consists in finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define {\it Weierstrass integrability} and we determine which Weierstrass integrable systems are Liouvillian integrable. Inside this new class of integrable systems there are non--Liouvillian integrable systems.

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Jaume Giné, Maite Grau. 2009-09-01. Weierstrass integrability of differential equations. https://arxiv.org/abs/0909.0113

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