| Contents |
| 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 only when it is separable. The non-integrability proof
is based on the Differential Galois approach. In one case we use
Ziglin's approach about the self-intersection of complex
separatrices, which is related to the above approach. |
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