Geodesic
$N$-soliton train and generalized complex Toda chain for the Manakov system
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 391-404 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : vector soliton train. 
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     title = {$N$-soliton train and generalized complex {Toda} chain for {the~Manakov} system},
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V. S. Gerdjikov; E. V. Doktorov; N. P. Matsuka. $N$-soliton train and generalized complex Toda chain for the Manakov system. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 391-404. http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a6/

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