Asymptotic Behavior of -Soliton Trains of the Nonlinear Schrödinger Equation
Physical review letters, 1996•APS
The generalization of the adiabatic perturbation approach of N-soliton interactions in the
nonlinear Schrödinger 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.
nonlinear Schrödinger 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.
Abstract
The generalization of the adiabatic perturbation approach of N-soliton interactions in the nonlinear Schrödinger 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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