Publications by the Laboratory of Theoretical Physics

Modelling adiabatic N-soliton interactions and perturbations, V. S. Gerdjikov, B. B. Baizakov and M. Salerno, Theor. Math. Phys. 144, 1138 (2005).    [PDF-file (401 kB)] Abstract: We analyze a perturbed version of the complex Toda chain (CTC) in an attempt to describe the adiabatic N-soliton train interactions of the perturbed nonlinear Schr¨odinger equation. We study perturbations with weak quadratic and periodic external potentials analytically and numerically. The perturbed CTC adequately models the N-soliton train dynamics for both types of potentials. As an application of the developed theory, we consider the dynamics of a train of matter-wave solitons confined in a parabolic trap and an optical lattice. 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.