Theoretical and Mathematical Physics

, Volume 144, Issue 2, pp 1138–1146 | Cite as

Modeling Adiabatic N-Soliton Interactions and Perturbations

  • V. S. Gerdjikov
  • B. B. Baizakov
  • M. Salerno
Article

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.

Keywords

complex Toda chain adiabatic dynamics soliton train expulsion of a soliton 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • V. S. Gerdjikov
    • 1
  • B. B. Baizakov
    • 2
  • M. Salerno
    • 2
  1. 1.Institute for Nuclear Research and Nuclear EnergyBulgarian Academy of SciencesSofiaBulgaria
  2. 2.Department of Physics “E. R. Caianiello” and Istituto Nazionale di Fisica della MateriaUniversity of SalernoBaronissiItaly

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