Asymptotic Behavior of N-Soliton Trains of the Nonlinear Schrödinger Equation.

Abstract

The generalization of the adiabatic perturbation approach of {ital N}-soliton interactions in the nonlinear Schr{umlt o}dinger equation (NLSE) has been shown to lead to the complex Toda lattice with {ital N} nodes. This allows us to predict the asymptotic behavior of trains of {ital N} solitonlike pulses with approximately equal amplitudes and velocities, but with arbitrary phase differences. These predictions agree very well with the numerical results. {copyright} {ital 1996 The American Physical Society.}