We study the influences to the discrete soliton (DS) by introducing linearlylong-range nonlocal interactions, which give rise to the off-diagonal elementsof the linearly coupled matrix in the discrete nonlinear schrodinger equationto be filled by non-zero terms. Theoretical analysis and numerical simulationsfind that the DS under this circumstance can exhibit strong digital effects:the fundamental DS is a narrow one, which occupies nearly only one waveguide,the dipole and double-monopole solitons, which occupy two waveguides, can befound in self-focusing and -defocusing nonlinearities, respectively. Stableflat-top solitons and their stagger counterparts, which occupy a controllablenumber of waveguides, can also be obtained through this system. Such digitalproperties may give rise to additional data processing applications and havepotential in fabricating digital optical devices in all-optical networks.
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