Darboux integrability of generalized Yang–Mills Hamiltonian system

نویسندگان

چکیده

We show that the generalized Yang–Mills system with Hamiltonian H=(p12+p22)/2+V(q1,q2) where V=1/2(aq12+bq22)+(cq14+2eq12q22+dq24)/4 is not completely integrable Darboux first integrals.

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ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2021

ISSN: ['1776-0852', '1402-9251']

DOI: https://doi.org/10.1080/14029251.2016.1175820