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