On the integrability of a system describing the stationary solutions in Bose--Fermi mixtures
arXiv:1503.08171 · doi:10.1016/j.chaos.2015.05.024
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 only when it is separable. The proof is based on the Differential Galois approach and Ziglin-Morales-Ramis method.
21 pages