title: Perturbation-induced radiation by the Ablowitz-Ladik soliton.
abstract: An efficient formalism is elaborated to analytically describe dynamics of the Ablowitz-Ladik soliton in the presence of perturbations. This formalism is based on using the Riemann-Hilbert problem and provides the means of calculating evolution of the discrete soliton parameters, as well as shape distortion and perturbation-induced radiation effects. As an example, soliton characteristics are calculated for linear damping and quintic perturbations.
authors.affiliation: B.I. Stepanov Institute of Physics, 68 F. Skaryna Avenue, 220072 Minsk, Belarus. doktorov@dragon.bas-net.by
authors.forename: E V
authors.initials: EV
authors.lastname: Doktorov
authors.forename: N P
authors.initials: NP
authors.lastname: Matsuka
authors.forename: V M
authors.initials: VM
authors.lastname: Rothos