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.
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Gerdjikov, V. (2004). On Modeling Adiabatic N-Soliton Interactions. In: Abdullaev, F.K., Konotop, V.V. (eds) Nonlinear Waves: Classical and Quantum Aspects. NATO Science Series II: Mathematics, Physics and Chemistry, vol 153. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2190-9_2
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DOI: https://doi.org/10.1007/1-4020-2190-9_2
Publisher Name: Springer, Dordrecht
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