title: Radiationless traveling waves in saturable nonlinear Schrödinger lattices.
abstract: 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.
authors.affiliation: Department of Engineering Mathematics, University of Bristol, BS8 1TR, United Kingdom.
authors.forename: T R O
authors.initials: TR
authors.lastname: Melvin
authors.forename: A R
authors.initials: AR
authors.lastname: Champneys
authors.forename: P G
authors.initials: PG
authors.lastname: Kevrekidis
authors.forename: J
authors.initials: J
authors.lastname: Cuevas