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Factorization of quasiclassical integrable systems

✍ Scribed by Boris A. Kupershmidt

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
343 KB
Volume
44
Category
Article
ISSN
0167-2789

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Integrable systems via polynomial invers
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We study the integrability of two-dimensional autonomous systems in the plane of the form αΊ‹ = -y + X s (x, y), ẏ = x + Y s (x, y), where X s (x, y) and Y s (x, y) are homogeneous polynomials of degree s with s 2. Writing this system in polar coordinates, we study the existence of polynomial inverse