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Phys Rev Lett. 2006 Sep 22;97(12):124101. Epub 2006 Sep 18.

Radiationless traveling waves in saturable nonlinear Schrödinger lattices.

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  • 1Department of Engineering Mathematics, University of Bristol, BS8 1TR, United Kingdom.


The long-standing problem of moving discrete solitary waves in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand-canonical energy barrier vanishes for isolated coupling strength values. Genuinely localized traveling 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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