Perturbation-induced radiation by the Ablowitz-Ladik soliton

Details Perturbation-induced radiation by the Ablowitz-Ladik soliton Perturbation-induced radiation by the Ablowitz-Ladik soliton

2003-11-06

arxiv.org/abs/nlin/0311010v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, 4 figures, Phys. Rev. E (in press)

Scientific paper

10.1103/PhysRevE.68.066610

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.

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