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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6054https://doi.org/10.4213/tmf6054 https://www.mathnet.ru/eng/tmf/v151/i3/p391
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Abstract page: | 513 | Full-text PDF : | 245 | References: | 98 | First page: | 2 |
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