Abstract
We report the existence and stability of multi-peak gap solitons in PT-symmetric optical lattice with the real part of the refractive index in the form of superlattice and the imaginary part having two different profiles; one with odd periodic lattice and the second with odd superlattice supported by a defocusing nonlinearity. Linear-stability spectra analysis and simulation results show that they can be stable in the scope of the first gap. The profile of the multi-peak solitons and the power-flow vector is found to be different from those of one cycle lattice.
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