D.E. Pelinovsky, D.A. Zezyulin, and V.V. Konotop

Nonlinear modes in a generalized PT-symmetric discrete nonlinear Schrodinger equation

Journal of Physics A: Math. Theor. 47 (2014) 085204 (20pp)

We generalize a finite parity-time PT-symmetric network of the discrete nonlinear Schrodinger type and obtain general results on linear stability of the zero equilibrium, on the nonlinear dynamics of the dimer model, as well as on the existence and stability of large-amplitude stationary nonlinear modes. A result of particular importance and novelty is the classification of all possible stationary modes in the limit of large amplitudes. We also discover a new integrable configuration of a PT-symmetric dimer.

Localized modes, PT-symmetry, discrete nonlinear Schrodinger equation, integrable dimer, existence and stability.