Tihomir Ilchev Valchev (Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria)

New exact solutions for equations of BF-mixtures

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.