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The generalization of the adiabatic perturbation approach of N-soliton interactions in the nonlinear Schr\"odinger equation (NLSE) has been shown to lead to the complex Toda lattice with N nodes. This allows us to predict the asymptotic behavior of trains of N solitonlike pulses with approximately equal amplitudes and velocities, but with arbitrary phase differences. These predictions agree very well with the numerical results.
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Gerdjikov et al. (1996) studied this question.
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