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Solitons in PT-symmetric periodic systems with the logarithmically saturable nonlinearity
Kaiyun Zhan1, Hao Tian2, Xin Li3
1College of Science, China University of Petroleum, Qingdao 266580, China.
Abstract:
We report on the formation and stability of induced solitons in parity-time (PT) symmetric periodic systems with the logarithmically saturable nonlinearity. Both on-site and off-site lattice solitons exist for the self-focusing nonlinearity. The most intriguing result is that the above solitons can also be realized inside the several higher-order bands of the band structure, due to the change of nonlinear type with the soliton power. Stability analysis shows that on-site solitons are linearly stably, and off-site solitons are unstable in their existence domain.
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