most citedA list of all integrable 2D homogeneous polynomial potentials with a polynomial integral of order at most 4 in the momenta

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nlin.SI2001★ 33 cited

A list of all integrable 2D homogeneous polynomial potentials with a polynomial integral of order at most 4 in the momenta

Katsuya Nakagawa, Haruo Yoshida

We searched integrable 2D homogeneous polynomial potential with a polynomial first integral by using the so-called direct method of searching for first integrals. We proved that th…