Abstract
We study the integrability of a Hamiltonian system describing the stationary solutions in Bose–Fermi mixtures in one dimensional optical lattices. We prove that the system is integrable in the Liouville sense only when it is separable in three generic cases. The proof is based on the differential Galois approach and the Ziglin–Morales–Ramis method.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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