Modeling Interactions of Soliton Trains. Effects of External Potentials.

Autor: Todorov, M. D., Gerdjikov, V. S., Kyuldjiev, A. V.
Předmět:
Zdroj: AIP Conference Proceedings; 2014, Vol. 1629, p186-200, 15p
Abstrakt: The effects of several types of external potentials on the Manakov soliton interactions using the perturbed complex Toda chain (PCTC) model are analyzed. We use three classes of potentials: i) harmonic ii) periodic and iii) combinations of well-type potentials with small depth. In doing this we demonstrate how the potentials can change the asymptotic regimes of the soliton trains. Wide-well external potentials are easier to implement in experiments on Bose-Einstein condensates and can be used to control the soliton motion in a given direction and to achieve a predicted motion of the optical pulse. A general feature of the conducted numerical experiments is that the predictions of both CTC and PCTC match very well with the Manakov model numerics for long-time evolution, often much longer than expected. This means that PCTC is reliable dynamical model for predicting the evolution of the multisoliton solutions of Manakov model in adiabatic approximation. We also compare scalar soliton trains with the Manakov trains with compatible initial parameters. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index