Modeling Adiabatic <Emphasis Type="Italic">N</Emphasis>-Soliton Interactions and Perturbations |
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| Authors: | V S Gerdjikov B B Baizakov M Salerno |
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| Institution: | (1) Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, 1784 Sofia, Bulgaria;(2) Department of Physics “E. R. Caianiello” and Istituto Nazionale di Fisica della Materia, University of Salerno, I-84081 Baronissi, Italy |
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| 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 Schrodinger 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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 2, pp. 302–312, August, 2005 |
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| Keywords: | complex Toda chain adiabatic dynamics soliton train expulsion of a soliton |
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