On the integrability of a system describing the stationary solutions in Bose–Fermi mixtures

Ognyan Christov and Georgi Georgiev

Chaos, Solitons & Fractals, 2015, vol. 77, issue C, 138-148

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:77:y:2015:i:c:p:138-148

DOI: 10.1016/j.chaos.2015.05.024

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