Asymptotic behavior of Manakov solitons: Effects of potential wells and humps

V.S. Gerdjikov, M.D. Todorov and A.V. Kyuldjiev

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 121, issue C, 166-178

Abstract: We consider the asymptotic behavior of the soliton solutions of Manakov’s system perturbed by external potentials. It has already been established that its multisoliton interactions in the adiabatic approximation can be modeled by the complex Toda chain (CTC). The fact that the CTC is a completely integrable system, enables us to determine the asymptotic behavior of the multisoliton trains. In the present study we accent on the 3-soliton initial configurations perturbed by sech-like external potentials and compare the numerical predictions of the Manakov system and the perturbed CTC in different regimes. The results of conducted analysis show that the perturbed CTC can reliably predict the long-time evolution of the Manakov system.

Keywords: Perturbed vector Schrödinger equation; Manakov system; Generalized complex Toda chain; Multisoliton interaction in adiabatic approximation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:121:y:2016:i:c:p:166-178

DOI: 10.1016/j.matcom.2015.10.004

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