Publications by the Laboratory of Theoretical Physics

On Modelling Adiabatic N-soliton Interactions and Perturbations. Effects of external potentials, V. Gerdjikov and B. Baizakov, In "Gravity, astrophysics and strings at the Black sea", P. P. Fiziev, M. D. Todorov (Eds.), St. Kliment Ohridski University Press, Sofia, Bulgaria, pp. 150 – 161 (2005).  [PDF-file (648 kB)] Abstract. We analyze several perturbed versions of the complex Toda chain (CTC) in an attempt to describe the adiabatic N-soliton train interactions of the perturbed nonlinear Schr¨odinger equation (NLS). Particular types of perturbations, including quadratic and periodic external potentials are treated by both analytical and numerical means. We show that the perturbed CTC model provides a good description for the N-soliton interactions in the presence of a weak external potential. The papers have Copyright © by the corresponding publishers. The papers may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.