Gap Solitons In Periodic Dissipative System

With the rapid development of information technology, the demand for finding an newstable information technology with super high speed, super high capacity is increasingurgently. All-optical information technology is the greatest potential technique for the future.Soliton information technoque is a typical case. Based on nonlinear effect, they can overcomethe limitation of the signal transmission distance cased by optical fiber dispersion. In addition,optical device responds much fast and carries much more information. The research of thetransition of spatial soliton provides great theory guidance for photoswitch, optical router,light show and optical computing. The study of gap solitons in periodic dissipative system notonly enrichs the fundamental physics, but also promote the development of quantummechanics and material subjects.At present, gap solitons in PT symmetric optical lattices have not been systematic studied.Thus, in this paper,we solved the non-linear schordinger equation which describes thedynamics of beam propagation by using the modified-squared operate method(MSOM),studied detailedly the propagation properity of gap solitons in PT symmetric optical latticesbased on Kerr-nonlinearity. We report the existence and stability of multi-peak gap solitonsin PT-symmetric optical lattice with the real part of superlattice based on defocusingnonlinearity by using the squared-operator method. Linear-stability spectra analysis andsimulation results show that they can be stable within the scope of the first gap. The profile ofmulti-peak solitons and the power-flow vector is much different from those of one cyclelattice. In addition, we also reported the existence of the fundamental, multipole and vortexsolitons in PT-symmetric triangular optical lattices. Different from the generic square opticallattices, the value of phase transition point of this model is1instead of0.5. This kind oflattice can support stable solitons listed above. Multipole solitons can carry much moreinformation, showing great application value. Thus, this paper enriches the soliton types inPT-symmetric systems.