A list of all integrable two-dimensional homogeneous polynomial potentials with a polynomial integral of order at most four in the momenta
Work
Year: 2001
Type: article
Abstract: 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 there exist no polynom... more
Authors Katsuya Nakagawa, Haruo Yoshida
Institutions The Graduate University for Advanced Studies, SOKENDAI, National Astronomical Observatory of Japan
Cites: 27
Cited by: 31
Related to: 10
FWCI: 1.33
Citation percentile (by year/subfield): 80.27
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green