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

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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