Radiationless Travelling Waves In Saturable Nonlinear Schr\"odinger Lattices
Abstract
The longstanding problem of moving discrete solitary waves in nonlinear Schr\"odinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand-canonical energy barrier vanishes for isolated coupling strength values. Genuinely localised travelling waves are computed as a function of the system parameters for the first time. The relevant solutions exist only for finite velocities.
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