Abstract
Using computational methods, the numerical existence and nonlinear stability of fundamental solitons in saturable me dia on crystal and certain type of quasicrystal lattices are inves tigated. In a certain parameter regime of the lattice depth a nd the propagation constant, the first nonlinear band-gap structures are obtai ned and the effect of the DC bias field (external electric field ) and the lattice depth to the gap width are analyzed.
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