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N-soliton train and generalized complex Toda chain for the Manakov system

Theoretical and Mathematical Physics volume 151, pages 762–773 (2007)Cite this article

Abstract

We analyze the dynamical behavior of the N-soliton train of the Manakov system and of the vector NLS equation in the adiabatic approximation. We prove that the dynamics of the N-soliton train in both cases are described by a generalized version of the complex Toda chain model. This fact can be used to predict the asymptotic regimes of the N-soliton train provided the initial soliton parameters are given.

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Authors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, 1784, Sofia, Bulgaria

    V. S. Gerdjikov

  2. Stepanov Institute of Physics, 220072, Minsk, Belarus

    E. V. Doktorov

  3. Institute of Mathematics, National Academy of Sciences of Belarus, 220072, Minsk, Belarus

    N. P. Matsuka

Authors
  1. V. S. Gerdjikov
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  2. E. V. Doktorov
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  3. N. P. Matsuka
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 391–404, June, 2007.

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Gerdjikov, V.S., Doktorov, E.V. & Matsuka, N.P. N-soliton train and generalized complex Toda chain for the Manakov system. Theor Math Phys 151, 762–773 (2007). https://doi.org/10.1007/s11232-007-0062-8

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  • DOI: https://doi.org/10.1007/s11232-007-0062-8

Keywords

  • complex Toda chain
  • Manakov model
  • adiabatic dynamics
  • vector soliton train