Solitons in PT symmetric nonlinear lattices

Fatkhulla Abdullaev

Academy of Sciences of Uzbekistan, Physical-Technical Institute, Theoretical Physics Laboratory, Tashkent, Uzbekistan

Existence of localized modes supported by the \PT-symmetric nonlinear lattices is reported. The system considered reveals unusual properties: unlike other typical dissipative systems it possesses families (branches) of solutions, which can be parametrized by the propagation constant; relatively narrow localized modes appear to be stable, even when the conservative nonlinear lattice potential is absent; finally, the system supports stable multipole solutions.

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