Rotation of the trajectories of bright solitons and realignment of intensity distribution in the coupled nonlinear Schrödinger equation

R. Radha, P. S. Vinayagam, and K. Porsezian
Phys. Rev. E 88, 032903 – Published 3 September 2013

Abstract

We reconsider the collisional dynamics of bright solitons in the coupled nonlinear Schrödinger equation. We observe that apart from the intensity redistribution in the interaction of bright solitons, one also witnesses a rotation of the trajectories of bright solitons. The angle of rotation can be varied by suitably manipulating the self-phase-modulation (SPM) or cross-phase-modulation (XPM) parameters. The rotation of the trajectories of the bright solitons arises due to the excess energy that is injected into the dynamical system through SPM or XPM. This extra energy contributes not only to the rotation of the trajectories, but also to the realignment of intensity distribution between the two modes. We also notice that the angular separation between the bright solitons can also be maneuvered suitably. The above results, which exclude quantum superposition for the field vectors, may have wider ramifications in nonlinear optics, Bose-Einstein condensates, and left- and right-handed metamaterials.

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  • Received 1 May 2013

DOI:https://doi.org/10.1103/PhysRevE.88.032903

©2013 American Physical Society

Authors & Affiliations

R. Radha1,*, P. S. Vinayagam1, and K. Porsezian2,†

  • 1Centre for Nonlinear Science, PG and Research Department of Physics, Government College for Women (Autonomous), Kumbakonam 612001, India
  • 2Department of Physics, Pondicherry University, Pondicherry 605014, India

  • *radha_ramaswamy@yahoo.com
  • ponzsol@yahoo.com

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Vol. 88, Iss. 3 — September 2013

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