TRO Melvin, AR Champneys, PG Kevrekidis and J Cuevas (pdf 370 Kb.)
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.
Phys. Rev. Lett. 97:124101-1/4, September 2006.
doi:10.1103/PhysRevLett.97.124101