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nlin.SI2007★ 8 cited
N-Wave Equations with Orthogonal Algebras: Z_2 and Z_2 \times Z_2 Reductions and Soliton Solutions
Vladimir S. Gerdjikov, Nikolay A. Kostov, Tihomir I. Valchev
We consider -wave type equations related to the orthogonal algebras obtained from the generic ones via additional reductions. The first -reduction is the canonical…
nlin.SI2007★ 7 cited
Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice
Nikolay A. Kostov, Vladimir S. Gerdjikov, Tihomir I. Valchev
We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus . We also discuss particular cases when…