Weierstrass integrability of differential equations Export

@article{citeulike:5705943, 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.}, archivePrefix = {arXiv}, author = {Gin\'{e}, Jaume and Grau, Maite}, citeulike-article-id = {5705943}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.0113}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.0113}, day = {1}, eprint = {0909.0113}, keywords = {integrability, polynomial\_vector\_fields}, month = {Sep}, posted-at = {2009-09-02 11:15:34}, priority = {2}, title = {Weierstrass integrability of differential equations}, url = {http://arxiv.org/abs/0909.0113}, year = {2009} }

TY - JOUR ID - citeulike:5705943 L3 - citeulike-article-id:5705943 N2 - 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. TI - Weierstrass integrability of differential equations KW - integrability KW - polynomial_vector_fields AU - Giné, Jaume AU - Grau, Maite PY - 2009/Sep/01/ UR - http://arxiv.org/abs/0909.0113 ER -