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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 3, Pages 391–404
DOI: https://doi.org/10.4213/tmf6054 (Mi tmf6054) 		 
This article is cited in 17 scientific papers (total in 17 papers)

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

V. S. Gerdjikova, E. V. Doktorovb, N. P. Matsukac

a Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
b B. I. Stepanov Institute of Physics, National Academy of Sciences of Belarus
c Institute of Mathematics, National Academy of Sciences of the Republic of Belarus
Full-text PDF (438 kB) Citations (17)
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DOI: https://doi.org/10.4213/tmf6054
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.
Keywords: complex Toda chain, Manakov model, adiabatic dynamics, vector soliton train.
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 3, Pages 762–773
DOI: https://doi.org/10.1007/s11232-007-0062-8
Bibliographic databases:
Language: Russian
Citation: V. S. Gerdjikov, E. V. Doktorov, N. P. Matsuka, “$N$-soliton train and generalized complex Toda chain for the Manakov system”, TMF, 151:3 (2007), 391–404; Theoret. and Math. Phys., 151:3 (2007), 762–773
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6054
  • https://www.mathnet.ru/eng/tmf/v151/i3/p391
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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