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

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

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.

Suggested Citation

  • Gerdjikov, V.S. & Todorov, M.D. & Kyuldjiev, A.V., 2016. "Asymptotic behavior of Manakov solitons: Effects of potential wells and humps," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 121(C), pages 166-178.
    • Handle: RePEc:eee:matcom:v:121:y:2016:i:c:p:166-178
    DOI: 10.1016/j.matcom.2015.10.004
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    References listed on IDEAS

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    1. Todorov, M.D. & Christov, C.I., 2012. "Collision dynamics of elliptically polarized solitons in Coupled Nonlinear Schrödinger Equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(7), pages 1321-1332.
    2. Gerdjikov, V.S. & Kostov, N.A. & Doktorov, E.V. & Matsuka, N.P., 2009. "Generalized perturbed complex Toda chain for Manakov system and exact solutions of Bose–Einstein mixtures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(1), pages 112-119.
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