Radiationless Travelling Waves In Saturable Nonlinear Schrödinger Lattices

Details Radiationless Travelling Waves In Saturable Nonlinear Schrödinger Lattices Radiationless Travelling Waves In Saturable Nonlinear Schrödinger Lattices

2006-03-30

arxiv.org/abs/nlin/0603071v2

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.97.124101

The longstanding problem of moving discrete solitary waves in nonlinear Schr{\"o}dinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand-canonical energy barrier vanishes for isolated coupling strength values. {\em Genuinely localised travelling waves} are computed as a function of the system parameters {\it for the first time}. The relevant solutions exist only for finite velocities.

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