A class of integrable polynomial vector fields
Chavarriga, Javier
Applicationes Mathematicae, Tome 23 (1995), p. 339-350 / Harvested from The Polish Digital Mathematics Library
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We study the integrability of two-dimensional autonomous systems in the plane of the form =-y+Xs(x,y), =x+Ys(x,y), where Xs(x,y) and Ys(x,y) are homogeneous polynomials of degree s with s≥2. First, we give a method for finding polynomial particular solutions and next we characterize a class of integrable systems which have a null divergence factor given by a quadratic polynomial in the variable (x2+y2)s/2-1 with coefficients being functions of tan−1(y/x).

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:219136 
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Chavarriga, Javier. A class of integrable polynomial vector fields. Applicationes Mathematicae, Tome 23 (1995) pp. 339-350. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i3p339bwm/

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