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Bose-Fermi mixtures in two optical lattices. (English) Zbl 1193.35209
Mladenov, Ivaïlo M. (ed.), Proceedings of the 9th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 8--13, 2007. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-42-4/pbk). 224-240 (2008).
Summary: We present stationary and travelling wave solutions for equations describing Bose-Fermi mixtures in an external potentials which are elliptic functions of modulus $k$. There are indications that such waves and localized objects may be observed in experiments with cold quantum degenerate gases. For the entire collection see [Zbl 1154.17001].
##### MSC:
 35Q55 NLS-like (nonlinear Schrödinger) equations 35C07 Traveling wave solutions of PDE 76Y05 Quantum hydrodynamics; relativistic hydrodynamics 81V80 Applications of quantum theory to quantum optics 35C08 Soliton solutions of PDE