Bound vector solitons and soliton complexes for the coupled nonlinear Schrödinger equations

Zhi-Yuan Sun, Yi-Tian Gao, Xin Yu, Wen-Jun Liu, and Ying Liu
Phys. Rev. E 80, 066608 – Published 31 December 2009

Abstract

Dynamic features describing the collisions of the bound vector solitons and soliton complexes are investigated for the coupled nonlinear Schrödinger (CNLS) equations, which model the propagation of the multimode soliton pulses under some physical situations in nonlinear fiber optics. Equations of such type have also been seen in water waves and plasmas. By the appropriate choices of the arbitrary parameters for the multisoliton solutions derived through the Hirota bilinear method, the periodic structures along the propagation are classified according to the relative relations of the real wave numbers. Furthermore, parameters are shown to control the intensity distributions and interaction patterns for the bound vector solitons and soliton complexes. Transformations of the soliton types (shape changing with intensity redistribution) during the collisions of those stationary structures with the regular one soliton are discussed, in which a class of inelastic properties is involved. Discussions could be expected to be helpful in interpreting such structures in the multimode nonlinear fiber optics and equally applied to other systems governed by the CNLS equations, e.g., the plasma physics and Bose-Einstein condensates.

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  • Received 22 July 2009

DOI:https://doi.org/10.1103/PhysRevE.80.066608

©2009 American Physical Society

Authors & Affiliations

Zhi-Yuan Sun1, Yi-Tian Gao1,2,*, Xin Yu1, Wen-Jun Liu3, and Ying Liu1

  • 1Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • 2State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • 3School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing 100876, China

  • *Corresponding author; gaoyt@public.bta.net.cn

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Vol. 80, Iss. 6 — December 2009

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