On Modeling Adiabatic N-Soliton Interactions
Effects of perturbations
Conference paper
Abstract
The complex Toda chain (CTC) is known to describe the N-soliton train interactions in adiabatic approximation for several nonlinear evolution equations: the nonlinear Schrödinger equation (NLS), the modified NLS, higher NLS. We briefly review and extend the results in order to treat several types of perturbations of the above-mentioned equations. In particular we consider analytically the effects of quadratic and periodic external potentials as perturbations. We also briefly analyze the Hamiltonian properties of the CTC.
Keywords
Soliton interactions nonlinear waves Hamiltonian mechanicsPreview
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