Weierstrass integrability of differential equations
| Data(s) |
2010
|
|---|---|
| Resumo |
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. |
| Identificador | |
| Idioma(s) |
eng |
| Publicador |
Elsevier |
| Relação |
Reproducció del document publicat a http://arxiv.org/abs/0909.0113 Versió preprint del document publicat a http://dx.doi.org/10.1016/j.aml.2010.01.004 Applied Mathematics Letters, 2010, vol. 23, p. 523–526 |
| Direitos |
open access (c) Elsevier, 2010 |
| Palavras-Chave | #Nonlinear differential equations #Integrability problem #Equacions diferencials no lineals |
| Tipo |
article |
