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Perturbation-induced radiation by the Ablowitz-Ladik soliton

E. V. Doktorov·N. P. Matsuka·V. M. Rothos
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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.

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E. V. Doktorov, N. P. Matsuka, V. M. Rothos. 2003-11-06. Perturbation-induced radiation by the Ablowitz-Ladik soliton. https://doi.org/10.1103/physreve.68.066610

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