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2009, Volume 2009: 780-789. Doi: 10.3934/proc.2009.2009.780 open access
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Collision dynamics of circularly polarized solitons in nonintegrable coupled nonlinear Schrödinger system

  • 1.

    Department of Differential Equations, Faculty of Applied Mathematics and Informatics, Technical University of Sofia, 1000 Sofia

  • 2.

    Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504-1010

Received:  July 31, 2008
Revised:  February 28, 2009
Published:  August 2009
Abstract Related Papers Cited by
    Abstract
  • The system of Coupled Nonlinear Schrödinger Equations (CNLSEs) is solved by a conservative difference scheme in complex arithmetic developed in earlier author's work. The initial condition represents a superposition of two one-soliton solutions of different circular polarizations. The interaction (collision) of the solitons and their quasi-particle (QP) behavior is examined for different configurations of the initial system of QPs. We found that the polarization angle of a QP can change after a collision with another QP depending on the configuration of the initial phases. The effects found in the present work seem to be novel and enrich the knowledge about the intimate mechanisms of interaction of polarized QPs of CNLSEs.
    Mathematics Subject Classification: Primary: 65M06, 35Q55; Secondary: 35Q51.

    Citation:
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