Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Discrete version of topics in analysis (39A12) Difference operators (39A70) Soliton solutions (35C08)

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