New exact solutions for equations of BF-mixtures

Abstract:
In the trigonometric limit the solutions describe a quasi-one dimensional quantum degenerate Bose-Fermi mixture trapped in an optical lattice. Quasi-periodic, periodic and soliton solutions are obtained as well.

1. N-Wave Equations with Orthogonal Algebras: Z₂ and Z₂ × Z₂ Reductions and Soliton Solutions, SIGMA 3 (2007), 039.

2. "Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice", submitted to SIGMA.