Five-Body Integral Equations and Solution of the $$\varvec{\eta -4N}$$η-4N Problem
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DOI: 10.1007/s00601-020-01551-7
Abstract: The Alt–Grassberger–Sandhas equations for the five-body problem are solved for the case of the driving two-body potentials limited to s-waves. The separable pole expansion method is employed to convert the equations into the effective quasi-two-body… read more here.
Keywords: body integral; equations solution; five body; integral equations ... See more keywords
Rational first integrals of the Liénard equations: The solution to the Poincaré problem for the Liénard equations.
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DOI: 10.1590/0001-3765202120191139
Abstract: Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class… read more here.
Keywords: poincar; equations solution; first integrals; rational first ... See more keywords