Darboux integrability of generalized Yang-Mills Hamiltonian system

作者：Llibre Jaume^*; Valls Claudia

来源：Journal of Nonlinear Mathematical Physics, 2016, 23(2): 234-242.

DOI：10.1080/14029251.2016.1175820

• Hamiltonian systems
• weight-homogenous differential systems
• polynomial integrability

We show that the generalized Yang-Mills system with Hamiltonian H = (p(1)(2) + p(2)(2))/2 + V(q(1),q(2)) where V = 1/2(aq(1)(2) + bq(2)(2)) + (cq(1)(4) + 2eq(1)(2)q(2)(2) + dq(2)(4))/4 is not completely integrable with Darboux first integrals.

• 出版日期2016