Perturbation-induced radiation by the Ablowitz-Ladik soliton
Exactly Solvable and Integrable Systems
2009-11-10 v1 Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.nlin/0311010,
title = {Perturbation-induced radiation by the Ablowitz-Ladik soliton},
author = {E. V. Doktorov and N. P. Matsuka and V. M. Rothos},
journal= {arXiv preprint arXiv:nlin/0311010},
year = {2009}
}
Comments
13 pages, 4 figures, Phys. Rev. E (in press)